Local well-posedness for the Klein-Gordon-Zakharov system in 3D
DOI10.3934/DCDS.2020338zbMath1460.35332arXiv2005.04653OpenAlexW3093017109MaRDI QIDQ1995565
Publication date: 24 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.04653
local well-posednessbilinear estimatesFourier restriction norm methodlow regularityKlein-Gordon-Zakharov
Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)
Cites Work
- Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions
- Convolutions of singular measures and applications to the Zakharov system
- Energy convergence for singular limits of Zakharov type systems
- A convolution estimate for two-dimensional hypersurfaces
- Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions
- On the Cauchy problem for the Zakharov system
- Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in 2D
- Anisotropic Bilinear L2 Estimates Related to the 3D Wave Equation
- On the 2D Zakharov system withL2Schrödinger data
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