Well-posedness results for a generalized Klein-Gordon-Schrödinger system

DOI10.1063/1.5120620zbMath1427.81035arXiv1910.06612OpenAlexW2988891784MaRDI QIDQ5205156

Hartmut Pecher

Publication date: 10 December 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06612

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Spatially singular solutions for Klein-Gordon-Schrödinger system ⋮ On the existence theory of a time-space fractional Klein-Gordon-Schrödinger system ⋮ Well-Posedness for a Generalized Klein-Gordon-Schrödinger Equations

Cites Work

• Unnamed Item
• Some new well-posedness results for the Klein-Gordon-Schrödinger system.
• Convolutions of singular measures and applications to the Zakharov system
• Low regularity well-posedness for the 3D Klein-Gordon-Schrödinger system
• Kato-type estimates for NLS equation in a scalar field and unique solvability of NKGS system in energy space
• On the 2D Zakharov system withL²Schrödinger data
• Uniqueness of generalized solutions to nonlinear wave equations
• Klein-Gordon-Schrödinger system: Dinucleon field
• Well posedness for the nonlinear Klein–Gordon–Schrödinger equations with heterointeractions
• Atlas of products for wave-Sobolev spaces on ℝ¹⁺³

This page was built for publication: Well-posedness results for a generalized Klein-Gordon-Schrödinger system