On semilinear parabolic evolution equations on closed sets

DOI10.1016/0022-247X(80)90245-0zbMath0452.34055MaRDI QIDQ1148443

Jan W. Prüss

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

mild solutionsemilinear evolution equationsubtangential conditionparabolic evolution operator

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear differential equations in abstract spaces (34G20) Groups and semigroups of linear operators (47D03)

Related Items (6)

Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type ⋮ Nonlinear perturbations of analytic semigroups ⋮ Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday ⋮ Flow invariance for nonlinear partial differential delay equations ⋮ Forward invariance and Wong-Zakai approximation for stochastic moving boundary problems ⋮ A remark on flow invariance for semilinear parabolic equations

Cites Work

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• On the Cauchy problem for ordinary differential equations in Banach spaces
• On the abstract linear evolution equations in Banach spaces
• Invariant sets and existence theorems for semilinear parabolic and elliptic systems
• Global solutions of semilinear evolution equations satisfying an energy inequality
• Sample solutions of stochastic ordinary differential equations^∗
• Invariant sets for a class of semi-linear equations of evolution
• Relatively continuous nonlinear perturbations of analytic semigroups
• On semilinear evolution equations in Banach spaces.
• Equations of parabolic type in a Banach space
• Generation of Analytic Semigroups by Strongly Elliptic Operators

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