Wellposedness in energy space for the nonlinear Klein–Gordon–Schrödinger system

Qi-Hong Shi, Wan-Tong Li and Shu Wang

Applied Mathematics and Computation, 2015, vol. 251, issue C, 55-64

Abstract: This paper is concerned with the wellposedness of the nonlinear Klein–Gordon–Schrödinger (NKGS) equations under multi-interactions in 3 dimensions. By using the vanishing viscosity techniques and the compactness arguments, we establish the existence of the global finite energy solutions for the NKGS equations. In addition, by introducing a time piecewise function with integral form, we prove uniqueness and continuous dependence on the initial data.

Keywords: NKGS equations; Viscose method; Uniqueness; Continuous dependence (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:55-64

DOI: 10.1016/j.amc.2014.11.068

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