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Global existence and uniform decay for the coupled Klein-Gordon-Schrödinger equations (2000)

Cavalcanti, M.M. ; Cavalcanti, V.N. Domingos

Springer

Nonlinear differential equations and applications 7 (2000), S. 285-307

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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

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