Communications in Computer and Information Science.
Springer Verlag.
Vol. 678.
2016.
P. 194-209
Stability for semilinear parabolic problems in L2 and W1,2
Asymptotic stability is studied for semilinear parabolic problems in L2(Ω) and interpolation spaces. Some known results about stability inW1,2(Ω) 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. © European Mathematical Society.
Authors
Gurevich P.
1,
2
,
Väth M.3
Publisher
Heldermann Verlag
Number of issue
3
Language
English
Pages
333-357
Status
Published
Link
DOI
Volume
35
Year
2016
Organizations
- 1 Free University of Berlin, Arnimallee 3, Berlin, 14195, Germany
- 2 Peoples' Friendship University of Russia, Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
- 3 Institute of Mathematics of the Czech Academy of Sciences, Žitná 25, Prague 1, 115 67, Czech Republic
Keywords
Asymptotic stability; Existence; Fractional power; Kato's square root problem; Parabolic PDE; Sesquilinear form; Strongly accretive operator; Uniqueness
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Informatika i ee Primeneniya.
Федеральный исследовательский центр "Информатика и управление" РАН.
Vol. 10.
2016.
P. 9-14