Semigroups of locally Lipschitz operators associated with semilinear evolution equations

DOI10.1016/j.jmaa.2006.08.028zbMath1123.34044OpenAlexW2011518160MaRDI QIDQ879047

Yoshikazu Kobayashi, Toshitaka Matsumoto, Naoki Tanaka

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.028

zbMATH Keywords

semilinear evolution equationsemilinear stability conditiongrowth conditionSemigroup of locally Lipschitz operatorssub-tangential condition

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear differential equations in abstract spaces (34G20)

Related Items (8)

Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type ⋮ Regularity for variational evolution integrodifferential inequalities ⋮ An application of semigroups of locally Lipschitz operators to Carrier equations with acoustic boundary conditions ⋮ Unnamed Item ⋮ Mutational analysis with transitions whose domains vary in state and that are not necessarily Lipschitz continuous in time ⋮ A viability theorem of stochastic semilinear evolution equations ⋮ Monotonicity method applied to complex Ginzburg-Landau type equations ⋮ Operator theory in the complex Ginzburg-Landau equation

Cites Work

• Semilinear equations with dissipative time-dependent domain perturbations
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• Invariant sets for perturbed semigroups of linear operators
• Continuous nonlinear perturbations of linear accretive operators in Banach spaces
• On the generation of unbounded semigroups of bounded linear operators
• Characterization of Nonlinear Semigroups Associated with Semilinear Evolution Equations
• Note on Nonlinear Contraction Semigroups
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Generation and characterization of locally Lipschitzian semigroups associated with semilinear evolution equations
• Semigroups of Lipschitz operators.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Semigroups of locally Lipschitz operators associated with semilinear evolution equations