Preprints

2019

1. On the global well-posedness of the quadratic NLS on \(L^2(\mathbb{R})+H^1(\mathbb{R})\),
   L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos, April 2019 – BibTeX
2. The global Cauchy problem for the NLS with higher order anisotropic dispersion,
   L. Chaichenets, N. Pattakos, April 2019 – BibTeX
3. Effective numerical simulation of the Klein–Gordon–Zakharov system in the Zakharov limit,
   S. Baumstark, G. Schneider, K. Schratz, March 2019 – BibTeX
4. Differentiability of the van der Waals interaction between two atoms,
   I. Anapolitanos, M. Lewin, M. Roth, February 2019 – BibTeX
5. On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space,
   J.-B. Casteras, R. Mandel, February 2019 – BibTeX
6. Asymptotic preserving trigonometric integrators for the quantum Zakharov system,
   S. Baumstark, K. Schratz, January 2019 – BibTeX
7. High-resolution characterization of near-surface structures by surface-wave inversions: From dispersion curve to full waveform, Y. Pan, L. Gao, T. Bohlen, January 2019 – BibTeX
8. Biharmonic wave maps: local wellposedness in high regularity,
   S. Herr, T. Lamm, T. Schmid, R. Schnaubelt, January 2019, revised March 2019 – BibTeX
9. Multiple solutions to a nonlinear curl-curl problem in \(\mathbb{R}^3\),
   J. Mederski, J. Schino, A. Szulkin, January 2019 – BibTeX

2018

1. Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory, J. Gärtner, P. Trocha, R. Mandel, C. Koos, T. Jahnke, W. Reichel, December 2018 – BibTeX
2. General class of optimal Sobolev inequalities and nonlinear scalar field equations,
   J. Mederski, December 2018 – BibTeX
3. Heterogeneous multiscale method for Maxwell's equations,
   M. Hochbruck, B. Maier, C. Stohrer, December 2018 – BibTeX
4. Finite element error analysis of wave equations with dynamic boundary conditions: \(L^2\) estimates,
   D. Hipp, B. Kovács, December 2018, revised January 2019 – BibTeX
5. On the comparison of asymptotic expansion techniques for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime, K. Schratz, X. Zhao, December 2018 – BibTeX
6. Energy bounds for biharmonic wave maps in low dimensions,
   T. Schmid, December 2018 – BibTeX
7. Trigonometric integrators for quasilinear wave equations,
   L. Gauckler, J. Lu, J. L. Marzuola, F. Rousset, K. Schratz, December 2018 – BibTeX
8. Randomized exponential integrators for modulated nonlinear Schrödinger equations,
   M. Hofmanová, M. Knöller, K. Schratz, December 2018 – BibTeX
9. Boundary stabilization of quasilinear Maxwell equations,
   M. Pokojovy, R. Schnaubelt, December 2018 – BibTeX
10. Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface,
    M. M. Müller, B. Maier, C. Rockstuhl, M. Hochbruck, December 2018 – BibTeX
11. Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions,
    R. Schnaubelt, M. Spitz, December 2018 – BibTeX
12. Biharmonic wave maps into spheres,
    S. Herr, T. Lamm, R. Schnaubelt, December 2018 – BibTeX
13. The Lugiato-Lefever equation with nonlinear damping caused by two photon absorption,
    J. Gärtner, R. Mandel, W. Reichel, November 2018 – BibTeX
14. A model for the periodic water wave problem and its long wave amplitude equations,
    R. Bauer, P. Cummings, G. Schneider, November 2018 – BibTeX
15. The KdV approximation for a system with unstable resonances,
    G. Schneider, November 2018 – BibTeX
16. Failure of the \(N\)-wave interaction approximation without imposing periodic boundary conditions,
    T. Haas, G. Schneider, November 2018 – BibTeX
17. Effective slow dynamics models for a class of dispersive systems,
    S. Baumstark, G. Schneider. K. Schratz, D. Zimmermann, November 2018 – BibTeX
18. Co-dimension one stable blowup for the supercritical cubic wave equation,
    I. Glogić, B. Schörkhuber, November 2018 – BibTeX
19. Uniformly accurate oscillatory integrators for the Klein-Gordon-Zakharov system from low- to high-plasma frequency regimes, S. Baumstark, K. Schratz, November 2018 – BibTeX
20. Discrete gradient flows for general curvature energies,
    W. Dörfler, R. Nürnberg, November 2018 – BibTeX
21. Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities,
    R. Mandel, November 2018 – BibTeX
22. Local wellposedness of quasilinear Maxwell equations with conservative interface conditions,
    R. Schnaubelt, M. Spitz, November 2018 – BibTeX
23. Solving inverse electromagnetic scattering problems via domain derivatives,
    F. Hagemann, T. Arens, T. Betcke, F. Hettlich, November 2018 – BibTeX
24. Splitting methods for nonlinear Dirac equations with thirring type interaction in the nonrelativistic limit regime,
    P. Krämer, K. Schratz, X. Zhao, November 2018 – BibTeX
25. Bifurcations of nontrivial solutions of a cubic Helmholtz system,
    R. Mandel, D. Scheider, November 2018 – BibTeX
26. Long-time behavior of quasilinear thermoelastic Kirchhoff-Love plates with second sound,
    I. Lasiecka, M. Pokojovy, X. Wan, November 2018 – BibTeX
27. Exponential decay of quasilinear Maxwell equations with interior conductivity,
    I. Lasiecka, M. Pokojovy, R. Schnaubelt, October 2018 – BibTeX
28. Equilibrium measures and equilibrium potentials in the Born-Infeld model,
    D. Bonheure, P. D'Avenia, A. Pomponio, W. Reichel, October 2018 – BibTeX
29. Stochastic Galerkin-collocation splitting for PDEs with random parameters,
    T. Jahnke, B. Stein, October 2018 – BibTeX
30. On a Kelvin-Voigt viscoelastic wave equation with strong delay,
    A. Anikushyn, A. Demchenko, M. Pokojovy, October 2018 – BibTeX
31. Waves of maximal height for a class of nonlocal equations with homogeneous symbols,
    G. Bruell, R. N. Dhara, October 2018 – BibTeX
32. Compactness of molecular reaction paths in quantum mechanics,
    I. Anapolitanos, M. Lewin, September 2018 – BibTeX
33. Cwikel's bound reloaded,
    D. Hundertmark, P. Kunstmann, T. Ried, S. Wugalter, September 2018 – BibTeX
34. Exponential convergence in \(H^1\) of \(hp\)-FEM for Gevrey regularity with isotropic singularities,
    M. Feischl, C. Schwab, August 2018 – BibTeX
35. Improved efficiency of a multi-index FEM for computational uncertainty quantification,
    J. Dick, M. Feischl, C. Schwab, August 2018 – BibTeX
36. Sparse compression of expected solution operators,
    M. Feischl, D. Peterseim, August 2018 – BibTeX
37. Knocking out teeth in one-dimensional periodic NLS,
    L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos, August 2018, revised March 2019 – BibTeX
38. A space-time Petrov-Galerkin method for linear wave equations (Lecture notes for Zurich Summer School 2016 "Numerical Methods for Wave Propagation"), C. Wieners, August 2018 – BibTeX
39. Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3D compact manifolds,
    Z. Brzeźniak, F. Hornung, L. Weis, August 2018 – BibTeX
40. On leap-frog-Chebyshev schemes,
    M. Hochbruck, A. Sturm, August 2018 – BibTeX
41. Modulation equations near the Eckhaus boundary – The KdV equation,
    T. Haas, B. de Rijk, G. Schneider, August 2018 – BibTeX
42. A space-time discontinuous Petrov-Galerkin method for acoustic waves,
    J. Ernesti, C. Wieners, August 2018 – BibTeX
43. Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves,
    W. Dörfler, S. Findeisen, C. Wieners, D. Ziegler, August 2018 – BibTeX
44. Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media,
    J. Ernesti, C. Wieners, August 2018, revised February 2019 – BibTeX
45. Error analysis of an energy preserving ADI splitting scheme for the Maxwell equation,
    J. Eilinghoff, T. Jahnke, R. Schnaubelt, August 2018 – BibTeX
46. Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise,
    Z. Brzeźniak, F. Hornung, U. Manna, July 2018 – BibTeX
47. Global well-posedness and exponential stability for heterogeneous anisotropic Maxwell's equations under a nonlinear boundary feedback with delay, A. Anikushyn, M. Pokojovy, June 2018 – BibTeX
48. Microlocal analysis of imaging operators for effective common offset seismic reconstruction,
    C. Grathwohl, P. Kunstmann, E. T. Quinto, A. Rieder, June 2018, revised August 2018 – BibTeX
49. Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions,
    M. Spitz, May 2018 – BibTeX
50. Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions,
    M. Spitz, May 2018 – BibTeX
51. Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field,
    E. Hairer, C. Lubich, April 2018 – BibTeX
52. Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials,
    A. Hirsch, W. Reichel, April 2018 – BibTeX
53. Modulation type spaces of generators of polynomially bounded group and Schrödinger equations,
    P. C. Kunstmann, April 2018, revised March 2019 – BibTeX
54. On a fourth order nonlinear Helmholtz equation,
    D. Bonheure, J.-B. Casteras, R. Mandel, April 2018 – BibTeX
55. Global secondary bifurcation, symmetry breaking and period-doubling,
    R. Mandel, March 2018 – BibTeX
56. Nonlinear Schrödinger equation, differentiation by parts and modulation spaces,
    L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos, February 2018, revised April 2018 – BibTeX

2017

1. Polynomial stability for a system of coupled strings,
   Ł. Rzepnicki, R. Schnaubelt, December 2017 – BibTeX
2. On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type methods,
   M. Hochbruck, J. Köhler, December 2017, revised March 2018 – BibTeX
3. Exponential adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation,
   T. Jahnke, M. Mikl, December 2017 – BibTeX
4. Error estimates in \(L^2\) of an ADI splitting scheme for the inhomogeneous Maxwell equations,
   J. Eilinghoff, R. Schnaubelt, December 2017 – BibTeX
5. NLS in the modulation space \(M_{2,q}(\mathbb{R})\),
   N. Pattakos, November 2017, revised April 2018 – BibTeX
6. Numerical approximation of planar oblique derivative problems in nondivergence form,
   D. Gallistl, November 2017 – BibTeX
7. Unified error analysis for nonconforming space discretizations of wave-type equations,
   D. Hipp, M. Hochbruck, C. Stohrer, November 2017, revised June 2018 – BibTeX
8. Error analysis of an ADI splitting scheme for the inhomogenous Maxwell equations,
   J. Eilinghoff, R. Schnaubelt, November 2017 – BibTeX
9. Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation,
   M. J. Grote, M. Mehlin, S. A. Sauter, October 2017 – BibTeX
10. The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations, R. Mandel, October 2017 – BibTeX
11. Dual variational methods for a nonlinear Helmholtz system,
    R. Mandel, D. Scheider, October 2017 – BibTeX
12. Operator estimates for the crushed ice problem,
    A. Khrabustovskyi, O. Post, October 2017 – BibTeX
13. Interface conditions for a metamaterial with strong spatial dispersion,
    A. Khrabustovskyi, K. Mnasri, M. Plum, C. Stohrer, C. Rockstuhl, September 2017 – BibTeX
14. Real-valued, time-periodic weak solutions for a semilinear wave equation with periodic δ-potential,
    A. Hirsch, W. Reichel, September 2017 –  outdated see major revision 2018/5
15. Spectrum of a singular pertubed periodic thin waveguide,
    G. Cardone, A. Khrabustovskyi, August 2017 – BibTeX
16. Entropy decay for the Kac evolution,
    F. Bonetto, A. Geisinger, M. Loss, T. Ried, July 2017 – BibTeX
17. Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities,
    D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky, July 2017 – BibTeX
18. Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space,
    Z. Brzeźniak, F. Hornung, L. Weis, July 2017 – BibTeX
19. A radiation condition arizing from the limiting absorption principle for a closed full- or half-waveguide problem,
    A. Kirsch, A. Lechleiter, June 2017 – BibTeX
20. The limiting absorption principle and a radiation condition for the scattering by a periodic layer,
    A. Kirsch, A. Lechleiter, June 2017 – BibTeX
21. Rayleigh-Ritz approximation of the inf-sup constant for the divergence,
    D. Gallistl, June 2017 – BibTeX
22. The definition and measurement of electromagnetic chirality,
    T. Arens, F. Hagemann, F. Hettlich, A. Kirsch, June 2017 – BibTeX
23. Beyond local effective material properties for metamaterials,
    K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, C. Rockstuhl, May 2017 – BibTeX
24. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations, M. Hochbruck, A. Sturm, May 2017 – BibTeX
25. Low regularity exponential-type integrators for semilinear Schrödinger equations,
    A. Ostermann, K. Schratz, May 2017 – BibTeX
26. Dispersion managed solitons in the presence of saturated nonlinearity,
    D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky, May 2017 – BibTeX
27. On the convergence of Lawson methods for semilinear stiff problems,
    M. Hochbruck, A. Ostermann, April 2017, revised June 2018 – BibTeX
28. The limiting absorption principle and a radiation condition for the scattering by a periodic layer,
    A. Kirsch, A. Lechleiter, March 2017 –  see revision 2017/16
29. Derivation of the Hartree equation for compound Bose gases in the mean field limit,
    I. Anapolitanos, M. Hott, D. Hundertmark, March 2017 – BibTeX
30. Strong solutions to a nonlinear stochastic Maxwell equation with retarded material law,
    L. Hornung, March 2017 – BibTeX
31. Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations,
    M. Hochbruck, T. Pažur, R. Schnaubelt, March 2017 – BibTeX
32. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations, M. Hochbruck, A. Sturm, March 2017 –  see revision 2017/12
33. Runge-Kutta convolution coercivity and its use for time-dependent boundary integral equations,
    L. Banjai, C. Lubich, February 2017 – BibTeX
34. Oscillating solutions for nonlinear Helmholtz equations,
    R. Mandel, E. Montefusco, B. Pellacci, February 2017 – BibTeX
35. Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting, S. Baumstark, E. Faou, K. Schratz, January 2017 – BibTeX

2016

1. An exponential-type integrator for the KdV equation,
   M. Hofmanová, K. Schratz, December 2016 – BibTeX
2. An IMEX-RK scheme for capturing similarity solutions in multidimensional Burger's equation,
   J. Rottmann-Matthes, December 2016 – BibTeX
3. Approximate inverse for the common offset acquisition geometry in 2D seismic imaging,
   C. Grathwohl, P. Kunstmann, E. T. Quinto, A. Rieder, December 2016, revised August 2017 – BibTeX, Supplementary files (ZIP, 7kB)
4. Freezing traveling and rotating waves in second order evolution equations,
   W.-J. Beyn, D. Otten, J. Rottmann-Matthes, November 2016 – BibTeX
5. A splitting approach for freezing waves,
   R. Flohr, J. Rottmann-Matthes, November 2016 – BibTeX
6. Quasilinear parabolic stochastic evolution equations via \(L^p\)-regularity,
   L. Hornung, November 2016, revised January 2017 – BibTeX
7. Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type,
   B. Kovács, C. Lubich, November 2016 – BibTeX
8. The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates,
   F. Hornung, November 2016, revised September 2017 – BibTeX
9. A simple proof of convergence to the Hartree dynamics in Sobolev trace norms,
   I. Anapolitanos, M. Hott, November 2016 – BibTeX
10. Local well-posedness for the nonlinear Schrödinger equation in modulation space \(M_{p,q}^s(\mathbb{R}^d)\),
    L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos, October 2016 – BibTeX
11. A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients,
    M. Plum, W. Reichel, October 2016 – BibTeX
12. Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation,
    T. Jahnke, M. Mikl, October 2016 – BibTeX
13. Freezing similarity solutions in multi-dimensional Burger's equation,
    J. Rottmann-Matthes, October 2016 – BibTeX
14. New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains,
    P. Kunstmann and L. Weis, October 2016 – BibTeX
15. Finite element heterogeneous multiscale method for time-dependent Maxwell's equations,
    M. Hochbruck, C. Stohrer, October 2016, revised June 2017 – BibTeX
16. On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell's equations, P. Ciarlet, S. Fliss, C. Stohrer, October 2016 – BibTeX
17. Trigonometric time integrators for the Zakharov system,
    S. Herr, K. Schratz, October 2016 – BibTeX
18. Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations, S. Buchholz, L. Gauckler, V. Grimm, M. Hochbruck, T. Jahnke, September 2016 – BibTeX
19. On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space \(M_{p,q}(\mathbb{R})\), L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos, September 2016 – BibTeX
20. Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities,
    M.-R. Choi, D. Hundertmark, Y.-R. Lee, September 2016 – BibTeX
21. Efficient time integration of the Maxwell-Klein-Gordon equation in the non-relativistic limit regime,
    P. Krämer, K. Schratz, July 2016 – BibTeX
22. Stable foliations near a traveling front for reaction diffusion systems,
    Y. Latushkin, R. Schnaubelt, X. Yang, July 2016 – BibTeX
23. Blow-up for nonlinear Maxwell equations,
    P. D’Ancona, S. Nicaise, R. Schnaubelt, July 2016 – BibTeX
24. Multi-level local time-stepping methods of Runge-Kutta type for wave equations,
    M. Almquist, M. Mehlin, July 2016 – BibTeX
25. Computation and Stability of Traveling Waves in Second Order Evolution Equations,
    W.-J. Beyn, D. Otten, J. Rottmann-Matthes, June 2016 – BibTeX
26. Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients,
    A. Hirsch, W. Reichel, June 2016 – BibTeX
27. Metastable energy strata in numerical discretizations of weakly nonlinear wave equations,
    L. Gauckler, D. Weiß, May 2016 – BibTeX, Supplementary files (ZIP, 3kB)
28. Stable and convergent fully discrete interior-exterior coupling of Maxwell’s equations,
    B. Kovács, C. Lubich, May 2016 – BibTeX
29. Multidimensional thermoelasticity for nonsimple materials – well-posedness and long-time behavior,
    A. Anikushyn, M. Pokojovy, May 2016 – BibTeX
30. On a parabolic-hyperbolic filter for multicolor image noise reduction,
    V. Maltsev, M. Pokojovy, May 2016 – BibTeX
31. Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations,
    M. Hochbruck, T. Pažur, March 2016 – BibTeX
32. 50 Tbit/s Massively Parallel WDM Transmission in C and L Band Using Interleaved Cavity-Soliton Kerr Combs,
    P. Marin, J. Pfeifle, M. Karpov, P. Trocha, R. Rosenberger, K. Vijayan, S. Wolf, J. Kemal, A. Kordts, M. Pfeiffer, V. Brasch, W. Freude, T. J. Kippenberg, C. Koos, March 2016 – BibTeX
33. A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation,
    R. Mandel, W. Reichel, March 2016, revised October 2016 – BibTeX, Supplementary files (ZIP, 21kB)
34. Long-term analysis of semilinear wave equations with slowly varying wave speed,
    L. Gauckler, E. Hairer, C. Lubich, February 2016 – BibTeX
35. From the Klein-Gordon-Zakharov system to the Klein-Gordon equation,
    M. Daub, G. Schneider, K. Schratz, February 2016 – BibTeX
36. Strang splitting for a semilinear Schrödinger equation with damping and forcing,
    T. Jahnke, M. Mikl, R. Schnaubelt, February 2016 – BibTeX
37. Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation,
    J. Eilinghoff, R. Schnaubelt, K. Schratz, January 2016 – BibTeX
38. Asymptotic behavior of the ground state energy of a Fermionic Fröhlich multipolaron in the strong coupling limit,
    I. Anapolitanos, M. Hott, January 2016 – BibTeX
39. Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity,
    A. Kirsch, A. Rieder, January 2016 – BibTeX

2015

1. Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction, J.-M. Barbaroux, D. Hundertmark, T. Ried, and S. Vugalter, December 2015 – BibTeX
2. Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition,
   D. Bargesghyan, P. Exner, A. Khrabustovskyi, M. Tater, October 2015 – BibTeX
3. Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane,
   A. Khrabustovskyi, M. Plum, October 2015 – BibTeX
4. Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems,
   W. Dörfler, S. Findeisen, C. Wieners, October 2015, revised March 2016 – BibTeX
5. Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules, J.-M. Barbaroux, D. Hundertmark, T. Ried, and S. Vugalter, September 2015 – BibTeX
6. Existence of dispersion management solitons for general nonlinearities,
   M.-R. Choi, D. Hundertmark and Y.-R. Lee, September 2015 –  outdated see major revision 2016/20
7. Error analysis of a second-order locally implicit method for linear Maxwell's equations,
   M. Hochbruck and A. Sturm, September 2015 – BibTeX