Stability for semilinear parabolic problems in L_2 and W^{1,2}

0462816 - MÚ 2017 RIV DE eng J - Článek v odborném periodiku
Gurevich, P. - Väth, Martin
Stability for semilinear parabolic problems in L_2 and W^{1,2}.
Zeitschrift für Analysis und Ihre Anwendungen. Roč. 35, č. 3 (2016), s. 333-357. ISSN 0232-2064. E-ISSN 1661-4534
Institucionální podpora: RVO:67985840
Klíčová slova: asymptotic stability * existence * uniqueness
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.643, rok: 2016
https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=35&iss=3&rank=5

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.
Trvalý link: http://hdl.handle.net/11104/0262200