Well posedness for the nonlinear Klein-Gordon-Schroedinger equations with heterointeractions
Journal Article
·
· Journal of Mathematical Physics
- College of Applied Science, Beijing University of Technology, Ping Le Yuan 100, Chaoyang District, Beijing 100124 (China)
- College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065 (China)
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.
- OSTI ID:
- 21335925
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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