Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds

DOI10.1090/tran/8210OpenAlexW3086437592WikidataQ115545694 ScholiaQ115545694MaRDI QIDQ5130401

Christopher D. Sogge, Yannick Sire, Chuanfang Wang, Jun Yong Zhang

Publication date: 4 November 2020

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

Full work available at URL: https://arxiv.org/abs/1910.02510

zbMATH Keywords

spectral measureStrichartz estimateStrauss conjectureasymptotically hyperbolic manifoldshifted wave

Mathematics Subject Classification ID

Wave equation (35L05) Fourier integral operators applied to PDEs (35S30) Nonlinear evolution equations (47J35) Second-order semilinear hyperbolic equations (35L71)

Related Items

Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications

Cites Work

• Unnamed Item
• Profile decompositions for wave equations on hyperbolic space with applications
• Wave and Klein-Gordon equations on hyperbolic spaces
• The wave equation on hyperbolic spaces
• Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds
• Hardy spaces and bmo on manifolds with bounded geometry
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• The Hodge cohomology of a conformally compact metric
• Nonlinear scattering theory at low energy
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds. III: Global-in-time Strichartz estimates without loss
• Generalized Strichartz inequalities for the wave equation
• The Strauss conjecture on negatively curved backgrounds
• The wave equation on Damek-Ricci spaces
• Global-in-time Strichartz estimates on nontrapping, asymptotically conic manifolds
• Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy
• Dispersive wave estimates on 3D hyperbolic space
• Estimation des fonctions de Littlewood-Paley-Stein sur les variétés riemanniennes à courbure non positive
• Endpoint Strichartz estimates
• A semilinear wave equation on hyperbolic spaces.
• Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
• Resolvent and Spectral Measure on Non-Trapping Asymptotically Hyperbolic Manifolds II: Spectral Measure, Restriction Theorem, Spectral Multipliers
• Recent progress on the Strauss conjecture and related problems
• Uniform Sobolev estimates for non-trapping metrics
• Littlewood-Paley decompositions on manifolds with ends
• Nonlinear waves on 3D hyperbolic space
• Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Maximal functions associated to filtrations