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Semilinear damped wave equation in locally uniform spaces
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SYSNO ASEP 0475227 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Semilinear damped wave equation in locally uniform spaces Author(s) Michálek, Martin (MU-W) RID, SAI, ORCID
Pražák, D. (CZ)
Slavík, J. (CZ)Source Title Communications on Pure and Applied Analysis. - : AIMS Press - ISSN 1534-0392
Roč. 16, č. 5 (2017), s. 1673-1695Number of pages 23 s. Language eng - English Country US - United States Keywords damped wave equations ; nonlinear damping ; unbounded domains Subject RIV BA - General Mathematics OECD category Pure mathematics Institutional support MU-W - RVO:67985840 UT WOS 000404234100009 EID SCOPUS 85020447666 DOI 10.3934/cpaa.2017080 Annotation We study a damped wave equation with a nonlinear damping in the locally uniform spaces and prove well-posedness and existence of a locally compact attractor. An upper bound on the Kolmogorov's -entropy is also established using the method of trajectories. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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