A penalty method approach to strong solutions of some nonlinear parabolic unilateral problems

DOI10.1016/0362-546X(82)90050-5zbMath0489.49006OpenAlexW2040703120MaRDI QIDQ3951123

Flavio Donati

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)90050-5

zbMATH Keywords

penalty methodunilateral problemnonlinear evolutionary problemsdual estimates

Mathematics Subject Classification ID

Variational inequalities (49J40) Smoothness and regularity of solutions to PDEs (35B65) Monotone operators and generalizations (47H05) Nonlinear parabolic equations (35K55) Duality and reflexivity in normed linear and Banach spaces (46B10)

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Cites Work

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• Méthodes d'ordre dans l'interpretation de certaines inéquations variationnelles et applications. (Order methods in the interpretation of certain variational inequalities and applications.)
• Inéquations d'évolution paraboliques avec convexes dependant du temps. Applications aux inéquations quasi-variationnelles d'évolution
• On strong solutions to parabolic unilateral problems with obstacle dependent on time
• On the smoothness of superharmonics which solve a minimum problem
• Problèmes unilateraux
• Problems d'evolution avec contraintes unilaterales et potentiels paraboliques problems d'evolution
• Existence and stability results for solutions of some strongly nonlinear constrained problems