Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient.

DOI10.1016/S0022-0396(03)00022-6zbMath1042.35092MaRDI QIDQ1874504

Siegfried Carl, Motreanu, Dumitru

Publication date: 25 May 2003

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

zbMATH Keywords

comparisonextremal solutioninitial boundary value problemgeneralized gradientlower solutionupper solutionpseudo-monotone operatorquasilinear parabolic inclusion

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) PDEs with multivalued right-hand sides (35R70) Initial-boundary value problems for higher-order parabolic equations (35K35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for higher-order parabolic equations (35K30)

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Cites Work

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• Extremal solutions of quasilinear parabolic subdifferential inclusions.
• Extremal solutions of parabolic hemivariational inequalities.
• Comparison and stability of solutions to a class of quasilinear parabolic problems
• Monotonicity methods for nonlinear evolution equations
• Operator equations in orderd sets and discontinuous implicit parabolic equations
• Existence of extremal solutions of boundary hemivariational inequalities

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