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]
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]
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]
On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space. Int. Math. Res. Not. IMRN, rnz389, January 2020. URL https://doi.org/10.1093/imrn/rnz389.. [preprint]
Bifurcations of nontrivial solutions of a cubic Helmholtz system. Adv. Nonlinear Anal., 9(1):1026–1045, January 2020. URL https://doi.org/10.1515/anona-2020-0040.. [preprint]
Uncountably many solutions for nonlinear Helmholtz and curl-curl equations. Adv. Nonlinear Stud., 19(3):569–593, August 2019. URL https://doi.org/10.1515/ans-2019-2050.. [preprint]
The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. Comm. Math. Phys., 368(2):799–842, June 2019. URL https://doi.org/10.1007/s00220-019-03363-1.. [preprint]
Dual variational methods for a nonlinear Helmholtz system. NoDEA Nonlinear Differential Equations Appl., 25(2):Art. 13, 26, March 2018. URL https://doi.org/10.1007/s00030-018-0504-z.. [preprint]
Oscillating solutions for nonlinear Helmholtz equations. Z. Angew. Math. Phys., 68(6):Art. 121, 19, October 2017. URL https://doi.org/10.1007/s00033-017-0859-8.. [preprint]
Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications. CRC 1173 Preprint 2021/37, Karlsruhe Institute of Technology, August 2021..
Nonlinear Helmholtz equations with sign-changing diffusion coefficient. CRC 1173 Preprint 2021/35, Karlsruhe Institute of Technology, August 2021..
The Tomas–Stein inequality under the effect of symmetries. CRC 1173 Preprint 2021/27, Karlsruhe Institute of Technology, June 2021..
Quadrature by parity asymptotic expansions (QPAX) for scattering by high aspect ratio particles. CRC 1173 Preprint 2021/22, Karlsruhe Institute of Technology, May 2021.. [files]
Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner–Riesz estimates with negative index for non-elliptic surfaces. CRC 1173 Preprint 2021/13, Karlsruhe Institute of Technology, April 2021.. [files]
Resolvent estimates for the time-harmonic Maxwell's equations in the partially anisotropic case. CRC 1173 Preprint 2021/11, Karlsruhe Institute of Technology, March 2021..
Some non-homogeneous Gagliardo–Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation. CRC 1173 Preprint 2020/27, Karlsruhe Institute of Technology, October 2020..
A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equation. CRC 1173 Preprint 2020/26, Karlsruhe Institute of Technology, September 2020..
Breather solutions of the cubic Klein–Gordon equation. CRC 1173 Preprint 2020/1, Karlsruhe Institute of Technology, January 2020. To be published in Nonlinearity..
On a nonlinear Helmholtz system. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2019..