Attractors and their structure for semilinear wave equations with nonlinear boundary dissipation

Long time behavior of a semilinear wave equation with nonlinearboundary dissipation is considered. It is shown that weak solutions generated by the wave dynamics converge asymptotically to a finite dimensional. It is known [CEL1] that the attractor consists of all full trajectories emanating from th...

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Bibliographic Details
Main Authors: Irena Lasiecka, Matthias Eller, Igor Chueshov
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2004-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7494/4313