Published March 2010
| Version v1
Journal article
Well posedness for the nonlinear Klein-Gordon-Schroedinger equations with heterointeractions
Creators
- 1. College of Applied Science, Beijing University of Technology, Ping Le Yuan 100, Chaoyang District, Beijing 100124 (China)
- 2. College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065 (China)
Description
In this paper we study the well posedness of solution to a certain system of nonlinear Klein-Gordon-Schroedinger equations in three space dimensions. Basing on the Strichartz estimates, we obtain the global existence, uniqueness of the solutions, and continuous dependence with respect to initial data in the Sobolev spaces of low regularities by setting appropriate contraction and taking difference estimates.
Additional details
Identifiers
- DOI
- 10.1063/1.3317646;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 51
- Journal Issue
- 3
- Journal Page Range
- p. 032102-032102.17
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41072119
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- KLEIN-GORDON EQUATION; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2010 American Institute of Physics