Analyticity of the maximal solution of an abstract nonlinear parabolic equation

DOI10.1016/0362-546X(82)90062-1zbMath0486.35017OpenAlexW2013269115MaRDI QIDQ3946502

Alessandra Lunardi

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90062-1

zbMATH Keywords

regularityCauchy problemlinearizationanalyticityanalytic semigroupinfinitesimal generatorabstract parabolic equations

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55)

Related Items (8)

Asymptotic exponential stability in quasilinear parabolic equations ⋮ Maximal regularity for a free boundary problem ⋮ Time analyticity for solutions of nonlinear abstract parabolic evolution equations ⋮ Global solutions of abstract quasilinear parabolic equations ⋮ The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension ⋮ On the principle of linearized stability in interpolation spaces for quasilinear evolution equations ⋮ Abstract quasilinear parabolic equations ⋮ On the abstract Cauchy problem of parabolic type in spaces of continuous functions

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Equations d'évolution abstraites non linéaires de type parabolique
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Nonlinear evolution equations in Banach spaces
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