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- Title
Uniform Decay for the Coupled Klein-Gordon-Schrödinger Equation with Linear Memory.
- Authors
Jong Yeol Park; Jung Ae Kim
- Abstract
In this article we prove the existence and uniform decay of the solution to the mixed problem for coupled Klein-Gordon-Schrödinger equation with memory term. The existence is proved by means of the Faedo-Galerkin method and the asymptotic behavior is obtained by making use of the multiplier technique combined with integral inequalities due to Komornik.
- Subjects
KLEIN-Gordon equation; MATHEMATICAL analysis; ASYMPTOTIC theory in integral equations; GALERKIN methods; INTEGRAL inequalities; FINITE differences
- Publication
Acta Applicandae Mathematicae, 2010, Vol 110, Issue 1, p449
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-009-9432-6