Decay and Strichartz estimates for Klein-Gordon equation on a cone. I: Spinless case

DOI10.1515/FORUM-2023-0186MaRDI QIDQ6500039

Fang Zhang, Zhiqing Yin

Publication date: 10 May 2024

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

conespectral measureStrichartz estimatesKlein-Gordon

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Time-dependent Schrödinger equations and Dirac equations (35Q41) Harmonic analysis and PDEs (42B37)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wave and Klein-Gordon equations on hyperbolic spaces
• Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds
• Global analysis of quasilinear wave equations on asymptotically de Sitter spaces
• Strichartz estimates for the Schrödinger equation on~polygonal domains
• Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes
• Classical and quantum scattering on a cone
• Non-perturbative 2 particle scattering amplitudes in \(2+1\) dimensional quantum gravity
• Estimations of the heat kernel on conic manifolds and applications
• Classical and quantum scattering on a spinning cone
• Spectral multipliers for Markov chains
• Partial differential equations. 1: Basic theory
• Resolvent and spectral measure for Schrödinger operators on flat Euclidean cones
• Decay and Strichartz estimates in critical electromagnetic fields
• Strichartz estimates and wave equation in a conic singular space
• Strichartz estimate and nonlinear Klein-Gordon equation on nontrapping scattering space
• On the diffraction of waves by conical singularities. I
• On the diffraction of waves by conical singularities. II
• Endpoint Strichartz estimates
• Strichartz Estimates for the Wave Equation on Flat Cones
• Maximal functions associated to filtrations
• The spectral projections and the resolvent for scattering metrics
• The fundamental solution and Strichartz estimates for the Schrödinger equation on flat Euclidean cones

This page was built for publication: Decay and Strichartz estimates for Klein-Gordon equation on a cone. I: Spinless case