ISSN:
1420-9004
Keywords:
Key words: Klein-Gordon-Schrödinger Equations, Galerkin approximation, Energy methods.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. This paper is concerned to the existence, uniqueness and uniform decay for the solutions of the coupled Klein-Gordon-Schrödinger damped equations $ i\psi_{t} + \Delta\psi + i\ |\psi|^{2}\psi + i\gamma\psi = -\phi\psi\in\Omega \times (0,\infty) $ $\phi_{tt} - \Delta\phi + \mu^{2}\phi + F(\phi, \phi_{t}) = \beta\ |\psi|^{2\theta}\in\Omega \times (0, \infty)$ where ω is a bounded domain of R n , n≤ 3, F : R 2→R is a C 1-function; γ, β; θ are constants such that γ, β 〉 0 and 1 ≤ 2θ≤ 2.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/PL00001426
Permalink