2022
. Traveling waves for a quasilinear wave equation. Nonlinear Anal., 225:113115, December 2022. URL https://doi.org/10.1016/j.na.2022.113115. [preprint]
. Inverse medium scattering for a nonlinear Helmholtz equation. J. Math. Anal. Appl., 515(1):126356, November 2022. URL https://doi.org/10.1016/j.jmaa.2022.126356. [preprint] [files]
. Global wellposedness of NLS in $H^1(\Bbb R)+H^s(\Bbb T)$. J. Math. Anal. Appl., 514(2):Paper No. 126359, 14, October 2022. URL https://doi.org/10.1016/j.jmaa.2022.126359. [preprint]
. Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications. Commun. Pure Appl. Anal., 21(9):2873–2889, September 2022. URL https://doi.org/10.3934/cpaa.2022079. [preprint]
. Non-homogeneous Gagliardo–Nirenberg inequalities $\mathbb{R}^N$ and application to a biharmonic non-linear Schrödinger equation. J. Differ. Equ., 330:1–65, September 2022. URL https://doi.org/10.1016/j.jde.2022.04.037. [preprint]
. Cwikel's bound reloaded. Invent. math., 1–57, September 2022. URL https://doi.org/10.1007/s00222-022-01144-7. Online first. [preprint]
. Multiscale scattering in nonlinear Kerr-type media. Math. Comp., 91(336):1655–1685, July 2022. URL https://doi.org/10.1090/mcom/3722. [preprint]
. Full discretization error analysis of exponential integrators for semilinear wave equations. Math. Comp., 91(336):1687–1709, July 2022. URL https://doi.org/10.1090/mcom/3736. [preprint] [files]
. Error analysis for space discretizations of quasilinear wave-type equations. IMA J. Numer. Anal., 42(3):1963–1990, July 2022. URL https://doi.org/10.1093/imanum/drab073. [preprint] [files]
. Interchanging space and time in nonlinear optics modeling and dispersion management models. J. Nonlinear Sci., 32(3):29, 39, June 2022. URL https://doi.org/10.1007/s00332-022-09788-8.
. Toward maximally electromagnetically chiral scatterers at optical frequencies. ACS Photonics, 9(6):1954–1964, June 2022. URL https://doi.org/10.1021/acsphotonics.1c01887.
. Monotonicity in inverse scattering for Maxwell's equations. Inverse Prob. Imaging, 1–38, June 2022. URL https://doi.org/10.3934/ipi.2022032. Online first. [preprint]
. The heterogeneous multiscale method for dispersive Maxwell systems. Multiscale Model. Simul., 20(2):769–797, June 2022. URL https://doi.org/10.1137/21M1443960. [preprint]
. Exponential integrators for quasilinear wave-type equations. SIAM J. Numer. Anal., 60(3):1472–1493, June 2022. URL https://doi.org/10.1137/21M1410579. [preprint] [files]
. Interpolation of a regular subspace complementing the span of a radially singular function. Studia Math., 265(2):197–210, May 2022. URL https://doi.org/10.4064/sm210621-12-8. [preprint]
. The optical helicity in a more algebraic approach to electromagnetism. Photoniques, 113(1):54–58, May 2022. URL https://doi.org/10.1051/photon/202111354.
. Dyssynchronous left ventricular activation is insufficient for the breakdown of wringing rotation. Front. Physiol., 13:838038, May 2022. URL https://doi.org/10.3389/fphar.2022.838038.
. Nonlinear Helmholtz equations with sign-changing diffusion coefficient. C. R. Math., 360:513–538, May 2022. URL https://doi.org/10.5802/crmath.322. [preprint]
. Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner–Riesz estimates with negative index for non-elliptic surfaces. Ann. Henri Poincaré, 23(5):1831–1882, May 2022. URL https://doi.org/10.1007/s00023-021-01144-y. [preprint] [files]
. Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule. IMA J. Numer. Anal., drac010, May 2022. URL https://doi.org/10.1093/imanum/drac010. [preprint]
. Ground states for Maxwell's equations in nonlocal nonlinear media. Partial Differ. Equ. Appl., 3(2):22, 16pp., April 2022. URL https://doi.org/10.1007/s42985-022-00159-2. [preprint] [files]
. Numerical homogenization for nonlinear strongly monotone problems. IMA J. Numer. Anal., 42(2):1313–1338, April 2022. URL https://doi.org/10.1093/imanum/drab004. [preprint] [files]
. Time-dependent electromagnetic scattering from thin layers. Numer. Math., 150(4):1123–1164, April 2022. URL https://doi.org/10.1007/s00211-022-01277-0.
. An offline-online strategy for multiscale problems with random defects. ESAIM Math. Model. Numer. Anal., 56(1):237–260, March 2022. URL https://doi.org/10.1051/m2an/2022006. [preprint] [files]
. Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. Numer. Math., 150(3):893–927, March 2022. URL https://doi.org/10.1007/s00211-021-01262-z. [preprint] [files]
. Global Strichartz estimates for an inhomogeneous Maxwell system. Commun. Partial Differ. Equ., 47(3):630–675, March 2022. URL https://doi.org/10.1080/03605302.2021.1998910. [preprint]
. Dynamical low-rank approximation for Burgers' equation with uncertainty. Int. J. Uncertain. Quantif., 12(5):1–21, March 2022. URL https://doi.org/10.1615/Int.J.UncertaintyQuantification.2022039345. [preprint] [files]
. On smoothing estimates in modulation spaces and the NLS with slowly decaying initial data. J. Funct. Anal., 282(15):109352, March 2022. URL https://doi.org/10.1016/j.jfa.2021.109352. [preprint]
. Multidimensional measures of electromagnetic chirality and their conformal invariance. New J. Phys., 24:033022, March 2022. URL https://doi.org/10.1088/1367-2630/ac57e8. [preprint]
. Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case. J. Fourier Anal. Appl., 28(2):16, February 2022. URL https://doi.org/10.1007/s00041-022-09912-y. [preprint]
. A scattering problem for a local pertubation of an open periodic waveguide. Math. Methods Appl. Sci., 1–37, February 2022. URL https://doi.org/10.1002/mma.8137. Online first. [preprint]
. Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions. J. Math. Anal. Appl., 506(1):125646, February 2022. URL https://doi.org/10.1016/j.jmaa.2021.125646. [preprint]
. Breather solutions for a quasi-linear $(1+1)$-dimensional wave equation. Stud. Appl. Math., 148(2):689–714, February 2022. URL https://doi.org/10.1111/sapm.12455. [preprint]
. Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. IMA J. Numer. Anal., 42(1):1–26, January 2022. URL https://doi.org/10.1093/imanum/draa091. [preprint]
. A rank-adaptive robust integrator for dynamical low-rank approximation. BIT, 1–26, January 2022. URL https://doi.org/10.1007/s10543-021-00907-7. Online first. [preprint]
2021
. Der Kodex „Leitlinien zur Sicherung guter wissenschaftlicher Praxis“ der DFG. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):239–242, December 2021. URL https://doi.org/10.1515/dmvm-2021-0085.
. A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equation. J. Funct. Anal., 281(11):109233, December 2021. URL https://doi.org/10.1016/j.jfa.2021.109233. [preprint]
. The absence of the Efimov effect in systems of one- and two-dimensional particles. J. Math. Phys., 62(12):123502, 46, December 2021. URL https://doi.org/10.1063/5.0033524. [preprint]
. Erfahrungen bei den Lernbrücken in Karlsruhe 2021. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):234–235, December 2021. URL https://doi.org/10.1515/dmvm-2021-0083.
. Low regularity well-posedness for generalized Benjamin–Ono equations on the circle. J. Hyperbolic Differ. Equ., 18(4):931–984, December 2021. URL https://doi.org/10.1142/S0219891621500272. [preprint]
. Multiparameter viscoelastic full-waveform inversion of shallow-seismic surface waves with a pre-conditioned truncated Newton method. Geophys. J. Int., 227(3):2044–2057, December 2021. URL https://doi.org/10.1093/gji/ggab311. [preprint]
. Quadrature by parity asymptotic expansions (QPAX) for scattering by high aspect ratio particles. SIAM J. Numer. Anal., 19(4):1857–1884, December 2021. URL https://doi.org/10.1137/21M1416801. [preprint] [files]
. Least energy solutions to a cooperative system of Schrödinger equations with prescribed $L^2$-bounds: at least $L^2$-critical growth. Calc. Var. Partial Differ. Equ., 61(1):10, November 2021. URL https://doi.org/10.1007/s00526-021-02116-0. [preprint]
. On a priori estimates and existence of periodic solutions to the modified Benjamin–Ono equation below $H^{1/2}(\mathbb{T})$. J. Differ. Equ., 299:111–153, October 2021. URL https://doi.org/10.1016/j.jde.2021.07.019.
. Co-dimension one stable blowup for the supercritical cubic wave equation. Adv. Math., 390:107930, October 2021. URL https://doi.org/10.1016/j.aim.2021.107930. [preprint]
. Artificial neural networks used to retrieve effective properties of metamaterials. Opt. Express, 29(22):36072–36085, October 2021. URL https://doi.org/10.1364/OE.427778.
. Higher order constitutive relations and interface conditions for metamaterials with strong spatial dispersion. Phys. Let. A, 412(19):127570, October 2021. URL https://doi.org/10.1016/j.physleta.2021.127570. [preprint]
. Unconditional uniqueness of higher order nonlinear Schrödinger equations. Czechoslovak Math. J., 71(3):709–742, October 2021. URL https://doi.org/10.21136/CMJ.2021.0078-20. [preprint]
. Visco-acoustic full waveform inversion: From a DG forward solver to a Newton-CG inverse solver. Comput. Math. Appl., 100:126–140, October 2021. URL https://doi.org/10.1016/j.camwa.2021.09.001. [preprint]
. Recurrent neural networks as optimal mesh refinement strategies. Comput. Math. Appl., 97:61–76, September 2021. URL https://doi.org/10.1016/j.camwa.2021.05.018. [preprint]
. Convergence of adaptive stochastic collocation with finite elements. Comput. Math. Appl., 98:139–156, September 2021. URL https://doi.org/10.1016/j.camwa.2021.07.001. [preprint]
. Maximizing the electromagnetic chirality of thin dielectric tubes. SIAM J. Appl. Math., 81(5):1979–2006, September 2021. URL https://doi.org/10.1137/21M1393509. [preprint]
. On the global wellposedness of the Klein–Gordon equation for initial data in modulation spaces. Proc. Amer. Math. Soc., 149(9):3849–3861, September 2021. URL https://doi.org/10.1090/proc/15497. [preprint]
. A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent. Arch. Ration. Mech. Anal., 241(3):1815–1842, September 2021. URL https://doi.org/10.1007/s00205-021-01684-x. [preprint]
. Numerical methods for scattering problems in periodic waveguides. Numer. Math., 148(4):959–996, August 2021. URL https://doi.org/10.1007/s00211-021-01229-0. [preprint]
. Non-Newtonian two-phase thin-film problem: local existence, uniqueness, and stability. Comm. Partial Differential Equations, 1–36, August 2021. URL https://doi.org/10.1080/03605302.2021.1957929. Online first. [preprint]
. Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime. Inverse Problems, 37(8):085011, 17, July 2021. URL https://doi.org/10.1088/1361-6420/ac11c5. [preprint]
. Nonlinear stability of fast invading fronts in a Ginzburg–Landau equation with an additional conservation law. Nonlinearity, 34(8):5538–5575, July 2021. URL https://doi.org/10.1088/1361-6544/abd612.
. Causes of altered ventricular mechanics in hypertrophic cardiomyopathy: an in-silico study. BioMed. Eng. OnLine, 20:69, July 2021. URL https://doi.org/10.1186/s12938-021-00900-9.
. Nonlinear scalar field equation with competing nonlocal terms. Nonlinearity, 34(8):5687–5707, July 2021. URL https://doi.org/10.1088/1361-6544/ac0d47. [preprint]
. Variational methods for breather solutions of nonlinear wave equations. Nonlinearity, 34(6):3618–3640, June 2021. URL https://doi.org/10.1088/1361-6544/abed38. [preprint]
. Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity. Calc. Var. Partial Differ. Equ., 6(4):133, June 2021. URL https://doi.org/10.1007/s00526-021-02006-5. [preprint]
. On a probabilistic model for martensitic avalanches incorporating mechanical compatibility. Nonlinearity, 34(7):4844–4896, June 2021. URL https://doi.org/10.1088/1361-6544/abfca9. [preprint]
. An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. Multiscale Model. Simul., 19(2):846–885, May 2021. URL https://doi.org/10.1137/20M1369907. [preprint]
. An unconventional robust integrator for dynamical low-rank approximation. BIT, 591–614, May 2021. URL https://doi.org/10.1007/s10543-021-00873-0. Online first. [preprint]
. Electro-mechanical whole-heart digital twins: A fully coupled multi-physics approach. Mathematics, 9(11):1247, May 2021. URL https://doi.org/10.3390/math9111247.
. Parallel space-time solutions for the linear visco-acoustic and visco-elastic wave equation. In W. E. Nagel, D. H. Kröner, and M. M. Resch, editors, High Performance Computing in Science and Engineering '19, pages 589–599, May 2021. Springer, Cham. [preprint]
. Lower limits for the homogenization of periodic metamaterials made from electric dipolar scatterers. Phys. Rev. B, 103(19):195425, May 2021. URL https://doi.org/10.1103/PhysRevB.103.195425. [preprint]
. On the Boussinesq equations with non-monotone temperature profiles. J. Nonlinear Sci., 31(4):64, 38, May 2021. URL https://doi.org/10.1007/s00332-021-09723-3. [preprint]
. The Lieb–Thirring inequality revisited. J. Eur. Math. Soc., 23(8):2583–2600, April 2021. URL https://doi.org/10.4171/JEMS/1062. [preprint]
. General class of optimal Sobolev inequalities and nonlinear scalar field equations. J. Differ. Equ., 281:411–441, April 2021. URL https://doi.org/10.1016/j.jde.2021.02.015. [preprint]
. An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. Numer. Math., 147(4):869–899, April 2021. URL https://doi.org/10.1007/s00211-021-01184-w. [preprint] [files]
. Cycle length statistics during human atrial fibrillation reveal refractory properties of the underlying substrate – a combined in silico and clinical test of concept study. EP Europace, 23(Supplement_1):i133–i142, March 2021. URL https://doi.org/10.1093/europace/euaa404.
. On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. SN Partial Differ. Equ. Appl., 2(2):23, 27pp., March 2021. URL https://doi.org/10.1007/s42985-020-00045-9. [preprint] [files]
. A uniqueness result for the sine-Gordon breather. SN Partial Differ. Equ. Appl., 2:26, 8pp., March 2021. URL https://doi.org/10.1007/s42985-021-00084-w. [preprint]
. Asymptotic preserving trigonometric integrators for the quantum Zakharov system. BIT, 61(1):61–81, March 2021. URL https://doi.org/10.1007/s10543-020-00815-2. [preprint]
. Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. Evol. Equ. Control Theory, 10(1):155–198, March 2021. URL https://doi.org/10.3934/eect.2020061. [preprint]
. Total helicity of electromagnetic fields and matter. Phys. Rev. B, 103(5):054406, February 2021. URL https://doi.org/10.1103/PhysRevB.103.054406. [preprint]
. Spectrum decomposition of translation operators in periodic waveguide. SIAM J. Appl. Math., 81(1):233–257, February 2021. URL https://doi.org/10.1137/19M1290942.
. On the asymptotic dynamics of 2-D magnetic quantum systems. Ann. Henri Poincaré, 22(2):415–445, February 2021. URL https://doi.org/10.1007/s00023-020-01012-1. [preprint]
. An all-at-once approach to full waveform seismic inversion in the viscoelastic regime. Math. Methods Appl. Sci., 1–13, February 2021. URL https://doi.org/10.1002/mma.7190. Online first. [preprint]
. A multiscale method for heterogeneous bulk-surface coupling. Multiscale Model. Simul., 19(1):374–400, February 2021. URL https://doi.org/10.1137/20M1338290. [preprint] [files]
. Time integration of tree tensor networks. SIAM J. Numer. Anal., 59(1):289–313, February 2021. URL https://doi.org/10.1137/20M1321838. [preprint]
. Bayesian optimization with improved scalability and derivative information for efficient design of nanophotonic structures. J. Light. Technol., 39(1):167–177, January 2021. URL https://doi.org/10.1109/JLT.2020.3023450.
. The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. Comput. Math. Appl., 81:391–406, January 2021. URL https://doi.org/10.1016/j.camwa.2020.03.004. [preprint]
. On the global well-posedness of the quadratic NLS on $L^2(\mathbb{R})+H^1(\mathbb{T})$. NoDEA Nonlinear Differential Equations Appl., 28(2):11–28, January 2021. URL https://doi.org/10.1007/s00030-020-00670-8. [preprint]
. The Lugiato–Lefever equation with nonlinear damping caused by two photon absorption. J. Dyn. Diff. Equat., 1–27, January 2021. URL https://doi.org/10.1007/s10884-021-09943-x. Online first. [preprint]
. Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 147(4):997–1000, 4 2021. URL https://doi.org/10.1007/s00211-021-01196-6.
2020
. On enhanced sensing of chiral molecules in optical cavities. Appl. Phys. Rev., 7(4):041413, December 2020. URL https://doi.org/10.1063/5.0025006.
. A uniformly exponentially stable ADI scheme for Maxwell equations. J. Math. Anal. Appl., 492(1):124442, December 2020. URL https://doi.org/10.1016/j.jmaa.2020.124442. [preprint]
. Imaging with the elliptic Radon transform in three dimensions from an analytical and numerical perspective. SIAM J. Imag. Sci., 13(4):2250–2280, December 2020. URL https://doi.org/10.1137/20M1332657. [preprint]
. Application of the second domain derivative in inverse electromagnetic scattering. Inverse Problems, 36(12):125002, 34, December 2020. URL https://doi.org/10.1088/1361-6420/abaa31. [preprint]
. A low-rank method for two-dimensional time-dependent radiation transport calculations. J. Comput. Phys., 421:109735, 18, November 2020. URL https://doi.org/10.1016/j.jcp.2020.109735.
. Modulation equations near the Eckhaus boundary: The KdV equation. SIAM J. Math. Anal., 52(6):5389–5421, November 2020. URL https://doi.org/10.1137/19M1266873. [preprint]
. Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 197–218, October 2020. Birkhäuser Basel.
. An annulus multiplier and applications to the limiting absorption principle for Helmholtz equations with a step potential. Math. Ann., 1–43, October 2020. URL https://doi.org/10.1007/s00208-020-02093-3. Online first. [preprint]
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. Soliton solutions for the Lugiato–Lefever equation by analytical and numerical continuation methods. In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 179–195, October 2020. Birkhäuser Basel.
. Local well-posedness for the nonlinear Schrödinger equation in the intersection of modulation spaces $M^s_{p,q}(\mathbb{R}^d)\cap M_{\infty,1}(\mathbb{R}^d)$. In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 89–107, October 2020. Birkhäuser Basel.
. Randomized exponential integrators for modulated nonlinear Schrödinger equations. IMA J. Numer. Anal., 40(4):2143–2162, October 2020. URL https://doi.org/10.1093/imanum/drz050. [preprint]
. Effective numerical simulation of the Klein–Gordon–Zakharov system in the Zakharov limit. In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 37–48, October 2020. Birkhäuser Basel.
. Approximate impedance for time-harmonic Maxwell's equations in a non planar domain with contrasted multi-thin layers. J. Math. Anal. Appl., 489(1):124141, September 2020. URL https://doi.org/10.1016/j.jmaa.2020.124141. [preprint]
. Consequences of using an orthotropic stress tensor for left ventricular systole. In 2020 Computing in Cardiology (CinC), pages 1–4, Rimini, Italy, September 2020.
. Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data. Inverse Problems, 35(10):105007, September 2020. URL https://doi.org/10.1088/1361-6420/abb5e2. [preprint]
. Monotonicity in inverse obstacle scattering on unbounded domains. Inverse Problems, 36(8):085014, August 2020. URL https://doi.org/10.1088/1361-6420/ab98a3. [preprint]
. On the comparison of asymptotic expansion techniques for the nonlinear Klein–Gordon equation in the nonrelativistic limit regime. Discrete Contin. Dyn. Syst. Ser. B, 25(8):2841–2865, August 2020. URL https://doi.org/10.3934/dcdsb.2020043. [preprint]
. On leapfrog-Chebyshev schemes. SIAM J. Numer. Anal., 58(4):2404–2433, August 2020. URL https://doi.org/10.1137/18M1209453. [preprint]
. Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Electron. Trans. Numer. Anal., 53:522–540, August 2020. URL https://doi.org/10.1553/etna_vol53s522. [preprint]
. The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds. NoDEA Nonlinear Differential Equations Appl., 27:40, July 2020. URL https://doi.org/10.1007/s00030-020-00642-y. [preprint]
. Equilibrium measures and equilibrium potentials in the Born–Infeld model. J. Math. Pures Appl., 139:35–62, July 2020. URL https://doi.org/10.1016/j.matpur.2020.05.001. [preprint]
. 2D multiparameter viscoelastic shallow-seismic full-waveform inversion: reconstruction tests and first field-data application. Geophys. J. Int., 222(1):560–571, July 2020. URL https://doi.org/10.1093/gji/ggaa198. [preprint]
. Random objective waveform inversion of surface waves. Geophysics, 85(4):1JA–Z18, July 2020. URL https://doi.org/10.1190/GEO2019-0613.1.
. Inverse design of nanophotonic devices with structural integrity. ACS Photonics, 7(8):2190–2196, July 2020. URL https://doi.org/10.1021/acsphotonics.0c00699.
. On the convergence of Lawson methods for semilinear stiff problems. Numer. Math., 145(3):553–580, July 2020. URL https://doi.org/10.1007/s00211-020-01120-4. [preprint]
. Space-time discontinuous Galerkin methods for linear hyperbolic systems and the application to the forward problem in seismic imaging. In R. Klöfkorn, E. Keilegavlen, F. A. Radu, and J. Fuhrmann, editors, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020, volume 323 of Springer Proceedings in Mathematics & Statistics, pages 447–485, June 2020. Springer, Cham.
. On a thin film model with insoluble surfactant. J. Differ. Equ., 268(12):7582–7608, June 2020. URL https://doi.org/10.1016/j.jde.2019.11.080. [preprint]
. Towards more general constitutive relations for metamaterials: a checklist for consistent formulations. Phys. Rev. B, 101(19):195411, May 2020. URL https://doi.org/10.1103/PhysRevB.101.195411. [preprint]
. Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Math. Comp., 1–46, May 2020. URL https://doi.org/10.1090/mcom/3597. Online first. [preprint]
. Well-posedness and stability for a mixed order system arising in thin film equations with surfactant. Math. Nachr., 293(5):879–892, May 2020. URL https://doi.org/mana.201900010. [preprint]
. Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data. Pure Appl. Anal., 2(2):519–532, May 2020. URL https://doi.org/10.2140/paa.2020.2.519. [preprint]
. Compactness of molecular reaction paths in quantum mechanics. Arch. Rational Mech. Anal., 236(2):505–576, May 2020. URL https://doi.org/10.1007/s00205-019-01475-5. [preprint]
. Multiple solutions to a nonlinear curl–curl problem in $\mathbb{R}^3$. Arch. Rational Mech. Anal., 236(1):253–288, April 2020. URL https://doi.org/10.1007/s00205-019-01469-3. [preprint]
. Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates. IMA J. Numer. Anal., 1–46, April 2020. URL https://doi.org/10.1093/imanum/drz073. Online first. [preprint]
. The cardiac pacemaker story — Fundamental role of the Na${}^{+}$/Ca${}^{2+}$ exchanger in spontaneous automaticiy. Front. Pharmacol., 11:516, April 2020. URL https://doi.org/10.3389/fphar.2020.00516.
. A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Numer. Math., 144(4):787–809, April 2020. URL https://doi.org/10.1007/s00211-020-01105-3. [preprint]
. Failure of the $N$-wave interaction approximation without imposing periodic boundary conditions. ZAMM Z. Angew. Math. Mech., 100(6):e201900230, April 2020. URL https://doi.org/10.1002/zamm.201900230. [preprint]
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. 34.6 Tbit/s WDM transmission using soliton Kerr frequency combs as optical source and local oscillator. In European Conference on Optical Communication (ECOC), pages 415–417, December 2016.
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. Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Inverse Problems, 32(8):085001, 24, June 2016. URL https://doi.org/10.1088/0266-5611/32/8/085001. [preprint]
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2015
. Exact dipolar moments of a localized electric current distribution. Opt. Express, 23(26):33044–33064, December 2015. URL https://doi.org/10.1364/OE.23.033044. [preprint]