Well-posedness for a class of nonlinear degenerate parabolic equations

DOI10.3934/PROC.2015.0455zbMath1381.35087arXiv1509.05510OpenAlexW2963872103MaRDI QIDQ260817

Giuseppe Floridia

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05510

zbMATH Keywords

weighted Sobolev spacessemilinear equationsdegenerate parabolic equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (3)

Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign ⋮ Stackelberg-Nash null controllability for a non linear coupled degenerate parabolic equations ⋮ Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states

Cites Work

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• Interpolation inequalities for weak solutions of nonlinear parabolic systems
• Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign
• Representation and control of infinite dimensional systems. Volume I
• Degenerate parabolic equations
• Approximate controllability for nonlinear degenerate parabolic problems with bilinear control
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Approximate controllability for linear degenerate parabolic problems with bilinear control

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