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

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Publication:330253
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DOI10.4171/ZAA/1568zbMath1375.35266MaRDI QIDQ330253

Martin Väth, Pavel L. Gurevich

Publication date: 25 October 2016

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)


zbMATH Keywords

existenceuniquenessasymptotic stabilitystrongly accretive operatorfractional powerparabolic PDEKato's square root problemsesquilinear form


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Linear operator methods in interpolation, moment and extension problems (47A57) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Nonlinear evolution equations (47J35) Linear accretive operators, dissipative operators, etc. (47B44) Forms (bilinear, sesquilinear, multilinear) (47A07)


Related Items (2)

Some Crandall-Rabinowitz type results and applications to reaction-diffusion systems ⋮ \(L_p\)-solvability of parabolic problems with an operator satisfying the Kato conjecture







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