STRONGLY DAMPED WAVE EQUATIONS ON R3 WITH CRITICAL NONLINEARITIES

TitleSTRONGLY DAMPED WAVE EQUATIONS ON R3 WITH CRITICAL NONLINEARITIES
Publication TypeJournal Article
Year of Publication2005
AuthorsConti, M
Secondary AuthorsPata, V, Squassina, M
Secondary TitleCommunications in Applied Analysis
Volume9
Issue2
Start Page161
Pagination176
Date Published04/2005
Type of Workscientific: mathematics
ISSN1083–2564
AMS35B40, 35L05, 58F12
Abstract

We prove the existence of a global attractor for a strongly damped semilinear wave equation in the whole space, with a quite general nonlinearity at critical growth and a nonlinear weak damping term, generalizing some previously known results.

 

URLhttp://www.acadsol.eu/en/articles/9/2/2.pdf
Short TitleStrongly Damped Wave Equations on R3
Refereed DesignationRefereed
Full Text

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