Strichartz estimates for convex co-compact hyperbolic surfaces

DOI10.1090/proc/14156zbMath1408.35162arXiv1707.06310OpenAlexW2963910318WikidataQ130077959 ScholiaQ130077959MaRDI QIDQ4644470

Ji'an Wang

Publication date: 7 January 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06310

zbMATH Keywords

Strichartz estimatesconvex co-compact hyperbolic surface

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Schrödinger equation on non-compact symmetric spaces ⋮ Spectral gaps without the pressure condition ⋮ An introduction to fractal uncertainty principle

Cites Work

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• Sobolev spaces on Riemannian manifolds
• Semiclassical \(L^p\) estimates
• STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
• Endpoint Strichartz estimates
• Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
• Littlewood-Paley decompositions on manifolds with ends
• Mathematical Theory of Scattering Resonances
• The Nonlinear Schrödinger Equation on Hyperbolic Space
• Spectral theory of infinite-area hyperbolic surfaces
• Maximal functions associated to filtrations

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