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Analýza disipativních rovnic v neomezených oblastech / Analysis of dissipative equations in unbounded domains

In the first part of this thesis, suitable function spaces for analysis of partial differ- ential equations in unbounded domains are introduced and studied. The results are then applied in the second part on semilinear wave equation in Rd with non- linear source term and nonlinear damping. The source term is supposed to be bounded by a polynomial function with a subcritical growth. The damping term is strictly monotone and satisfying a polynomial-like growth condition. Global existence is proved using finite speed of propagation. Dissipativity in locally uni- form spaces and the existence of a locally compact attractor are then obtained after additional conditions imposed on the damping term.

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:321001
Date January 2013
CreatorsMichálek, Martin
ContributorsPražák, Dalibor, Feireisl, Eduard
Source SetsCzech ETDs
LanguageCzech
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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