Dispersive wave estimates on 3D hyperbolic space

DOI10.1090/S0002-9939-2012-11534-5zbMath1275.35147MaRDI QIDQ2846741

Jason Metcalfe, Michael E. Taylor

Publication date: 3 September 2013

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

zbMATH Keywords

Strichartz estimates

Mathematics Subject Classification ID

Hyperbolic equations on manifolds (58J45) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

Profile decompositions for wave equations on hyperbolic space with applications ⋮ Global in time existence of self-interacting scalar field in de Sitter spacetimes ⋮ Remarks on the derivation of several second order partial differential equations from a generalization of the Einstein equations ⋮ Wave equation on certain noncompact symmetric spaces ⋮ Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution ⋮ Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds ⋮ Functional Inequalities on Symmetric Spaces of Noncompact Type and Applications ⋮ The wave equation on Damek-Ricci spaces ⋮ Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime

Cites Work

• Hardy spaces and bmo on manifolds with bounded geometry
• \(H^p\) spaces of several variables
• Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
• Nonlinear waves on 3D hyperbolic space

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