A commuting-vector-field approach to some dispersive estimates

DOI10.1007/s00013-017-1114-4zbMath1384.35108arXiv1701.01460OpenAlexW2578360533MaRDI QIDQ1702167

Willie Wai Yeung Wong

Publication date: 28 February 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01460

zbMATH Keywords

Vlasov equationStrichartz estimatesvector field methodlinear Schrödinger equationdispersive equationsAiry equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Stability of vacuum for the Boltzmann equation with moderately soft potentials ⋮ Mixing in anharmonic potential well ⋮ Nonlinear stability of self-gravitating massive fields. A wave-Klein–Gordon model ⋮ Optimal decay estimates for the Vlasov-Poisson system with radiation damping ⋮ The Vlasov–Poisson–Landau system in the weakly collisional regime ⋮ Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime ⋮ Stability of vacuum for the Landau equation with moderately soft potentials ⋮ The stability of the Minkowski space for the Einstein-Vlasov system ⋮ Sharp decay estimates for the Vlasov-Poisson system with an external magnetic field ⋮ Propagation of regularity and long time behavior of the \(3D\) Massive relativistic transport equation. II: Vlasov-Maxwell system ⋮ Phase mixing for solutions to 1D transport equation in a confining potential

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Small data solutions of the Vlasov-Poisson system and the vector field method
• A physical space approach to wave equation bilinear estimates
• Decay rate of solutions to hyperbolic system of first order
• A vector field method for relativistic transport equations with applications
• Bilinear virial identities and applications
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Endpoint Strichartz estimates
• Classical and Multilinear Harmonic Analysis
• A vector field method on the distorted Fourier side and decay for wave equations with potentials
• The Hyperboloidal Foliation Method