Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions
DOI10.3934/cpaa.2016036zbMath1360.35249arXiv1512.01510OpenAlexW2962734585MaRDI QIDQ334509
Publication date: 1 November 2016
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.01510
Cauchy problemscatteringwell-posednessbilinear estimatelow regularity\(U^2, V^2\) type Bourgain spacesradial Strichartz estimate
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (2)
Cites Work
- Unnamed Item
- Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry
- Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications
- Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\)
- Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
- From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- 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
- Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.
- Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
- On existence and scattering with minimal regularity for semilinear wave equations
- Normal form and global solutions for the Klein-Gordon-Zakharov equations
- Generalized Strichartz inequalities for the wave equation
- Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
- Scattering and well-posedness for the Zakharov system at a critical space in four and more spatial dimensions.
- Well-posedness and scattering for a system of quadratic derivative nonlinear Schrödinger equations with low regularity initial data
- Small Energy Scattering for the Zakharov System with Radial Symmetry
- FROM THE KLEIN–GORDON–ZAKHAROV SYSTEM TO THE NONLINEAR SCHRÖDINGER EQUATION
- Endpoint Strichartz estimates
- Local and global results for wave maps I
- Dispersive estimates for principally normal pseudodifferential operators
- A bilinear estimate with applications to the KdV equation
- Counterexamples to Local Existence for Semi-Linear Wave Equations
- Strichartz estimates in spherical coordinates
- A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces
This page was built for publication: Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions