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

DOI10.1080/03605302.2022.2047724zbMath1494.58011arXiv2108.11596OpenAlexW3194828017MaRDI QIDQ5864717

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

Publication date: 8 June 2022

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11596

zbMATH Keywords

asymptotically hyperbolic manifoldsshifted wave equationreversed Strichartz estimates

Mathematics Subject Classification ID

Wave equation (35L05) A priori estimates in context of PDEs (35B45) Hyperbolic equations on manifolds (58J45)

Cites Work

• Restriction and spectral multiplier theorems on asymptotically conic manifolds
• Sharp estimates for maximal operators associated to the wave equation
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• The Hodge cohomology of a conformally compact metric
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• The Strauss conjecture on negatively curved backgrounds
• On the \(L^p\) norm of spectral clusters for compact manifolds with boundary
• Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\)
• Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy
• Spectral cluster estimates for C 1,1 metrics
• Global existence for energy critical waves in 3-d domains
• Resolvent and Spectral Measure on Non-Trapping Asymptotically Hyperbolic Manifolds II: Spectral Measure, Restriction Theorem, Spectral Multipliers
• Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds