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	Analysis of dissipative equations in unbounded domains Michálek, Martin ; Pražák, Dalibor (advisor) ; Feireisl, Eduard (referee) 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. Detailed record
	Analysis of dissipative equations in unbounded domains Michálek, Martin ; Pražák, Dalibor (advisor) ; Feireisl, Eduard (referee) 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. Detailed record
	L .sup. 2 ./sup. odhady slabého řešení ve váhových Sobolevových prostorech problému Oseenova typu pro rotující těleso Kračmar, S. ; Nečasová, Šárka ; Penel, P. The aim of this paper is to described the asymptotic behavior of solution in the weighted spaces with anisotropical weight. Detailed record

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