Semilinear equations with dissipative time-dependent domain perturbations

DOI10.1007/BF02760625zbMath0535.35035MaRDI QIDQ791038

Nicolae H. Pavel

Publication date: 1983

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessmild solutionsemilinear equationsinfinitesimal generatorsubtangential conditiondissipative operatorsdomain perturbationstime-dependent domain

Mathematics Subject Classification ID

Related Items (10)

Nonlinear perturbations of analytic semigroups ⋮ Characterization of Nonlinear Semigroups Associated with Semilinear Evolution Equations ⋮ Semigroups of locally Lipschitz operators associated with semilinear evolution equations ⋮ Invariance for quasi-dissipative systems in Banach spaces ⋮ Invariant closed sets with respect to differential inclusions with time-dependent maximal monotone operators ⋮ Viability theorems for a class of differential-operator inclusions ⋮ Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces ⋮ A remark on flow invariance for semilinear parabolic equations ⋮ Flow invariance for semilinear evolution equations under generalized dissipativity conditions ⋮ Invariance and strict invariance for nonlinear evolution problems with applications

Cites Work

• On the global existence of unique solutions of differential equations in a Banach space
• Nonlinear evolution operators in Banach spaces
• Invariant sets for a class of perturbed differential equations of retarded type
• Nonlinear semigroups and evolution equations
• Continuous nonlinear perturbations of linear accretive operators in Banach spaces
• Nonautonomous differential equations in Banach spaces
• Nonlinear evolution equations governed by f-quasi-dissipative operators
• Serial endomorphism rings
• Invariant sets for a class of semi-linear equations of evolution
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