Marilena N. Poulou, Nikolaos M. Stavrakakis
Abstract:
In this article, we consider a nonlinear Klein-Gordon-Schrodinger
type system in
, where the nonlinear term exists and
the damping term is effective. We prove the existence and uniqueness
of a global solution and its exponential decay. The result is
achieved by using the multiplier technique.
Submitted June 7, 2012. Published October 17, 2012.
Math Subject Classifications: 35L70, 35B40.
Key Words: Klein-Gordon-Schrodinger system; localized damping;
existence and uniqueness; energy decay.
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| Marilena N. Poulou Department of Mathematics, National Technical University Zografou Campus 157 80, Athens, Hellas, Greece email: mpoulou@math.ntua.gr |
| Nikolaos M. Stavrakakis Department of Mathematics, National Technical University Zografou Campus 157 80, Athens, Hellas, Greece email: nikolas@central.ntua.g |
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