Time analyticity for solutions of nonlinear abstract parabolic evolution equations

DOI10.1016/0022-1236(87)90006-1zbMath0655.35028OpenAlexW1964009044MaRDI QIDQ1109220

Alessandra Lunardi

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90006-1

zbMATH Keywords

Banach spaceanalyticityintegrodifferential equationsnonlinear evolution equationsfully nonlinearCauchy- Dirichlet problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Nonlinear differential equations in abstract spaces (34G20) Initial value problems for linear higher-order PDEs (35G10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Higher-order parabolic equations (35K25)

Related Items

Stability of travelling waves with interface conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analyticity of solutions of quasilinear evolution equations
• Fully nonlinear integrodifferential equations in general Banach space
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Equations d'évolution abstraites non linéaires de type parabolique
• Nonlinear homomorphic semigroups
• Analyticity of solutions of nonlinear evolution equations
• Interpolation Spaces Between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications to Nonlinear Parabolic Equations
• Analyticity of the maximal solution of an abstract nonlinear parabolic equation
• Analyticity at the boundary of solutions of nonlinear second-order parabolic equations
• Analyticity up to the boundary of solutions of nonlinear parabolic equations