Preprints
Local smoothing for the Hermite wave equation. Link to Preprint
Improved global well-posedness of mass-critical nonlinear Schrödinger equations on tori. Link to Preprint
Refinements of Strichartz estimates on tori and applications. Link to Preprint
(w/ Nicolas Burq) Strichartz estimates for Maxwell equations on domains with perfectly conducting boundary conditions Link to Preprint
(w/ Anna Muranova) Eigenvalues of the normalized complex Laplacian on finite electrical networks.Link to Preprint
Publications
Strichartz estimates for Maxwell equations in media: the partially anisotropic case. accepted to Com PDE. Link to Preprint
(w/ Sebastian Herr and Akansha Sanwal) Low regularity well-posedness for KP-I equations: the three-dimensional case Journal of Functional Analysis, Volume 286, Issue 4. Link
(w/ Roland Schnaubelt) Strichartz estimates for Maxwell equations in media: the structured two-dimensional case Archiv der Mathematik, Vol. 121 (4) Link
(w/ Akansha Sanwal) Low regularity well-posedness for KP-I equations: the dispersion generalised case Nonlinearity, Vol. 36, No. 8 Link
(w/ Roland Schnaubelt) Strichartz estimates for Maxwell equations in media: the fully anisotropic case. Journal of Hyperbolic Differential Equations (2023) Vol. 20, No. 04, pp. 917-966 Link
(w/ Roland Schnaubelt) On quasilinear Maxwell equations in two dimensions. Pure Appl. Anal. 4 (2022), no. 2, 313–365. Link
(w/ Dorothee Frey) Strichartz estimates for equations with structured Lipschitz coefficients. J. Evol. Equ. 23, 45 (2023). Link
Oscillatory integral operators with homogeneous phase functions. Journal d'Analyse. Link
(w/ Jan Rozendaal) Nonlinear wave equations with slowly decaying initial data. Journal of Differential Equations (2023), Vol. 350, pp. 152-188. Link
Infinite-energy solutions to energy-critical nonlinear Schrödinger equations in modulation spaces. J. Math. Anal. Appl. 519 (2023), no. 1, Paper No. 126748, 14 pp. Link
(w/ Jean-Claude Cuenin) Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications. Commun. Pure Appl. Anal. 21 (2022), no. 9, 2873–2889. Link
Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case. Journal of Fourier Analysis and Applications (2022), Vol. 28 (2) Link
On smoothing estimates in modulation spaces and the NLS with slowly decaying initial data. Journal of Functional Analysis (2022), Vol. 282 (5) Link
(w/ Rainer Mandel) Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner-Riesz estimates with negative index for non-elliptic surfaces. Link (Annales Henri Poincar'e: Journal of Mathematical and Theoretical Physics)
A priori estimates of periodic solutions to the modified Benjamin-Ono equation. Journal of Differential Equations (2021) Vol. 299, 111-153 Link
(w/ Friedrich Klaus) A priori estimates for the derivative nonlinear Schrödinger equation. Funkcialaj Ekvacioj (2022) Vol. 65, No. 3, pp. 329--346 Link
(w/ Shinya Kinoshita) Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation. Journal of Functional Analysis (2021) Vol. 280, No. 6 Link
On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations. Discrete and Continuous Dynamical Systems - Series A (2020) Vol. 40, No. 9, pp.5189-5215 Link
(w/ Kihyun Kim) Low regularity well-posedness for generalized Benjamin-Ono equations on the circle. J. Hyperbolic Differ. Equ. 18 (2021), no. 4, 931–984. Link
On short-time bilinear Strichartz estimates and applications to the Shrira equation. Nonlinear Analysis: TMA. (2020) Vol. 198 Link
Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle. Nonlinear Analysis:TMA. (2020). Vol. 196 Link
On Strichartz estimates from decoupling and applications. Mathematics of Wave Phenomena Link
On the existence of periodic solutions to the modified Korteweg–de Vries equation. Journal of Evolution Equations (2020) Vol. 20, pp.725-776 Link
Sharp Strichartz estimates in spherical coordinates. Communications on Pure and Applied Analysis (2017) Vol. 16, No. 6, pp. 2047-2051. Link
Generalized inhomogeneous Strichartz estimates. Discrete and Continuous Dynamical Systems - Series A (2017) Vol. 37, No. 6, pp. 3387-3410. Link