Strichartz estimates on asymptotically hyperbolic manifolds

DOI10.2140/apde.2011.4.1zbMath1230.35027arXiv0711.3587OpenAlexW2963051625MaRDI QIDQ638834

Jean-Marc Bouclet

Publication date: 15 September 2011

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3587

zbMATH Keywords

estimate without lossIsozaki-Kitada parametrixSchrödinger evolution operatorsemiclassical functional calculus

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Pseudodifferential and Fourier integral operators on manifolds (58J40) Fourier integral operators applied to PDEs (35S30) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (13)

Global in time Strichartz estimates for the fractional Schrödinger equations on asymptotically Euclidean manifolds ⋮ Strichartz estimates for Schrödinger equations with variable coefficients and potentials at most linear at spatial infinity ⋮ Exponential lower resolvent bounds far away from trapped sets ⋮ Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds. III: Global-in-time Strichartz estimates without loss ⋮ Strichartz Estimates for Schrödinger Equations on Scattering Manifolds ⋮ Semi-classical functional calculus on manifolds with ends and weighted \(L^p\) estimates ⋮ Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials. II: Superquadratic potentials ⋮ Strichartz estimates for convex co-compact hyperbolic surfaces ⋮ High-Frequency Dynamics for the Schrödinger Equation, with Applications to Dispersion and Observability ⋮ Strichartz estimates with loss of derivatives under a weak dispersion property for the wave operator ⋮ Strichartz estimates for the Schrödinger flow on compact Lie groups ⋮ On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on R × T² ⋮ Dispersive estimates for scalar and matrix Schrödinger operators on \(\mathbb H^{n+1}\)

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