Semilinear damped wave equation in locally uniform spaces

0475227 - MÚ 2018 RIV US eng J - Článek v odborném periodiku
Michálek, Martin - Pražák, D. - Slavík, J.
Semilinear damped wave equation in locally uniform spaces.
Communications on Pure and Applied Analysis. Roč. 16, č. 5 (2017), s. 1673-1695. ISSN 1534-0392. E-ISSN 1553-5258
GRANT EU: European Commission(XE) 320078 - MATHEF
Institucionální podpora: RVO:67985840
Klíčová slova: damped wave equations * nonlinear damping * unbounded domains
Obor OECD: Pure mathematics
Impakt faktor: 0.884, rok: 2017
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14110

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.
Trvalý link: http://hdl.handle.net/11104/0272070