On nonlinear, nonconvex evolution inclusions

• Autorzy: Nikolaos S. Papageorgiou
• Języki publikacji: EN

Abstrakty

EN

We consider a nonlinear evolution inclusion driven by an m-accretive operator which generates an equicontinuous nonlinear semigroup of contractions. We establish the existence of extremal integral solutions and we show that they form a dense, $G_δ$-subset of the solution set of the original Cauchy problem. As an application, we obtain "bang-bang"' type theorems for two nonlinear parabolic distributed parameter control systems.

Słowa kluczowe

EN

m-accretive operator; integral solution; nonlinear semigroup; extremal solution; strong relaxation theorem; parabolic system

Kategorie tematyczne

• 49J20: Optimal control problems involving partial differential equations
• 35K55: Nonlinear parabolic equations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1995
• Tom: 15
• Numer: 1
• Strony: 29-42

Daty

wydano

1995

Twórcy

autor

Nikolaos S. Papageorgiou

• Florida Institute of Technology, Department of Applied Mathematics, 150 West University Blvd. Melbourne, Florida 32901-6988, USA

Bibliografia

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