Strichartz estimates on asymptotically de Sitter spaces
From MaRDI portal
Publication:1944788
DOI10.1007/s00023-012-0187-7zbMath1262.83020arXiv1011.4696OpenAlexW2075795235MaRDI QIDQ1944788
Publication date: 28 March 2013
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.4696
Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)
Related Items
Global in time existence of self-interacting scalar field in de Sitter spacetimes, Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes, Remarks on the derivation of several second order partial differential equations from a generalization of the Einstein equations, The global existence of small self-interacting scalar field propagating in the contracting universe, On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime, Integral Transform Approach to Time-Dependent Partial Differential Equations, On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime, Global existence of the scalar field in de Sitter spacetime, Global existence of the self-interacting scalar field in the de Sitter universe, Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes, Global analysis of quasilinear wave equations on asymptotically de Sitter spaces, Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime, Global results for linear waves on expanding Kerr and Schwarzschild de Sitter cosmologies, The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime, Integral transform approach to solving Klein-Gordon equation with variable coefficients, On the numerical experiments of the Cauchy problem for semi-linear Klein-Gordon equations in the De Sitter spacetime, Strichartz estimate and nonlinear Klein-Gordon equation on nontrapping scattering space, Global Solutions of Semilinear System of Klein-Gordon Equations in de Sitter Spacetime, The Cauchy problem for the Klein–Gordon equation under the quartic potential in the de Sitter spacetime, Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
- Nonlinear small data scattering for the wave and Klein-Gordon equation
- The semilinear Klein-Gordon equation in de Sitter spacetime
- Strichartz estimates on Schwarzschild black hole backgrounds
- A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces
- The wave equation on asymptotically de Sitter-like spaces
- On the global Cauchy problem for some nonlinear Schrödinger equations
- Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Inverse scattering on asymptotically hyperbolic manifolds.
- Norm estimates in Besov and Lizorkin-Triebel spaces for the solutions of second-order linear hyperbolic equations
- Semiclassical \(L^p\) estimates
- Fourier integral operators. I
- Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients, II
- Strichartz estimates on Kerr black hole backgrounds
- A Strichartz estimate for de Sitter space
- Spectral cluster estimates for C 1,1 metrics
- Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
- Endpoint Strichartz estimates
- Sharp Strichartz estimates on nontrapping asymptotically conic manifolds
- Domain of Dependence
- Maximal functions associated to filtrations