Global attractors for the Klein-Gordon-Schrodinger equation in unbounded domains

Authors
Lu, KN Wang, BX
Citation
Kn. Lu et Bx. Wang, Global attractors for the Klein-Gordon-Schrodinger equation in unbounded domains, J DIFF EQUA, 170(2), 2001, pp. 281-316
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
170
Issue
2
Year of publication
2001
Pages
281 - 316
Database
ISI
SICI code
0022-0396(20010301)170:2<281:GAFTKE>2.0.ZU;2-A
Abstract
In this paper. we study thr long time behavior of solutions for the Klein-G ordon-Schrodinger equation in the whole space R-n with n less than or equal to 3. We first prove the continuity of the solutions on initial data and t hen establish the asymptotic compactness of solutions. Finally, we show the existence of the global attractor for this model in the space H-k(R-n) x H -k(R-n) for each integer k greater than or equal to 1. (C) 2001 Academic Pr ess.