Global solutions of abstract quasilinear parabolic equations

DOI10.1016/0022-0396(85)90014-2zbMath0526.35039OpenAlexW1968277774MaRDI QIDQ595110

Alessandra Lunardi

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90014-2

zbMATH Keywords

uniquenessquasilinear equationsCauchy-Dirichlet problemglobal solutionsstrict solutionsabstract parabolic equations

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items

Asymptotic exponential stability in quasilinear parabolic equations ⋮ Regular solutions to quasilinear integrodifferential equations in banach spaces ⋮ Global solutions to semilinear parabolic systems for small data ⋮ A Global Existence Result For Quasi–Linear Parabolic Equations ⋮ Quasilinear integrodifferential equations in Banach spaces ⋮ Existence of local solutions of quasilinear integrodifferential equations in banach spaces ⋮ Stability of Runge-Kutta methods for quasilinear parabolic problems ⋮ On the principle of linearized stability in interpolation spaces for quasilinear evolution equations ⋮ Quasilinear Evolution Equations and Parabolic Systems ⋮ Convergence to a stationary state and stability for solutions of quasilinear parabolic equations ⋮ Abstract quasilinear parabolic equations

Cites Work

• On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Equations d'évolution abstraites non linéaires de type parabolique
• The linearization principle for the stability of solutions of quasilinear parabolic equations. I
• 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
• Generation of Analytic Semigroups by Strongly Elliptic Operators
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