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Stability for semilinear parabolic problems in L_2 and W^{1,2}
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SYSNO ASEP 0462816 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Stability for semilinear parabolic problems in L_2 and W^{1,2} Author(s) Gurevich, P. (DE)
Väth, Martin (MU-W) RID, SAI, ORCIDSource Title Zeitschrift für Analysis und Ihre Anwendungen - ISSN 0232-2064
Roč. 35, č. 3 (2016), s. 333-357Number of pages 25 s. Language eng - English Country DE - Germany Keywords asymptotic stability ; existence ; uniqueness Subject RIV BA - General Mathematics Institutional support MU-W - RVO:67985840 UT WOS 000388453800005 EID SCOPUS 84988884697 DOI 10.4171/ZAA/1568 Annotation Asymptotic stability is studied for semilinear parabolic problems in $L_2 (Omega)$ and interpolation spaces. Some known results about stability in $W^{1,2} (Omega)$ are improved for semilinear parabolic systems with mixed boundary conditions. The approach is based on Amann’s power extrapolation scales. In the Hilbert space setting, a better understanding of this approach is provided for operators satisfying Kato’s square root problem. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2017
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