Second order nonlinear evolution inclusions. I: Existence and relaxation results

DOI10.1007/s10114-004-0508-yzbMath1095.34039OpenAlexW2001568782MaRDI QIDQ2581232

Nikolaos S. Papageorgiou, Nikolaos G. Yannakakis

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0508-y

zbMATH Keywords

compact embeddingsolution setextremal solutionscoercive operatorevolution tripleintegration by parts formulastrong relaxationsurjective operatorupper semicontinuous and lower semicontinuous multifunctionhyperbolic control systemL-pseudomonotonicitypseudomonotone and demicontinuous operator

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Evolution inclusions (34G25)

Related Items

On systems of boundary value problems for differential inclusions ⋮ Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications ⋮ Second order nonlinear evolution inclusions. II: Structure of the solution set ⋮ Solvability and continuous dependence results for second order nonlinear evolution inclusions with a Volterra-type operator ⋮ Existence results for a class of second order evolution inclusions and its corresponding first order evolution inclusions ⋮ Relaxation control for a class of evolution hemivariational inequalities ⋮ Existence of solutions for a class of nonlinear evolution inclusions with nonlocal conditions ⋮ Evolution hemivariational inequality with hysteresis operator in higher order term ⋮ Boundary value problems of a class of nonlinear partial differential inclusions ⋮ Nonlinear second order evolution inclusions with noncoercive viscosity term ⋮ Existence of anti-periodic solutions for hemivariational inequalities ⋮ Structure of the solution set for a partial differential inclusion ⋮ Multivalued periodic Lienard systems ⋮ Relaxation in nonconvex optimal control problems governed by evolution inclusions with the difference of two Clarke's subdifferentials ⋮ Existence results for implicit nonlinear second-order differential inclusions

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