BV continuous solutions of an evolution inclusion with maximal monotone operator and nonconvex-valued perturbation. Existence theorem

DOI10.1007/S11228-020-00535-3zbMath1482.34144OpenAlexW3009305506MaRDI QIDQ829872

A. A. Tolstonogov

Publication date: 6 May 2021

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-020-00535-3

zbMATH Keywords

perturbationmaximal monotone operatorfunctions of bounded variationdifferential measuredensity of a measurenon-atomic Radon measure

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued operators (47H04) Evolution inclusions (34G25) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (11)

Existence and relaxation of solutions for evolution differential inclusions with maximal monotone operators ⋮ A measure differential inclusion with time-dependent maximal monotone operators ⋮ Maximal monotonicity of a Nemytskii operator ⋮ Optimal control of an evolution problem involving time-dependent maximal monotone operators ⋮ A minimization problem subject to a coupled system by maximal monotone operators ⋮ The \(G \)-convergence of maximal monotone Nemytskii operators ⋮ Upper semicontinuous convex-valued selectors of a Nemytskii operator with nonconvex values and evolution inclusions with maximal monotone operators ⋮ Existence solutions for a couple of differential inclusions involving maximal monotone operators ⋮ Comparison theorems for evolution inclusions with maximal monotone operators. $L^2$-theory ⋮ Density and co-density of the solution set of an evolution inclusion with maximal monotone operators ⋮ Invariant closed sets with respect to differential inclusions with time-dependent maximal monotone operators

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