Truncated Perturbation to Evolution Problems Involving Time-Dependent Maximal Monotone Operators

This paper is devoted to the study of an evolution inclusion with unbounded nonconvex valued perturbation that is driven by a time-dependent maximal monotone operator. As well the examination of the inclusion when the perturbation term is convexified. We establish the existence of solutions and the...

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Veröffentlicht in:	Lobachevskii journal of mathematics 2024-02, Vol.45 (2), p.621-635
Hauptverfasser:	Boudjerida, Nouha, Affane, Doria, Yarou, Mustapha Fateh
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Evolution Geometry Inclusions Mathematical Logic and Foundations Mathematics Mathematics and Statistics Perturbation Probability Theory and Stochastic Processes Time dependence
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description	This paper is devoted to the study of an evolution inclusion with unbounded nonconvex valued perturbation that is driven by a time-dependent maximal monotone operator. As well the examination of the inclusion when the perturbation term is convexified. We establish the existence of solutions and the relaxation property between these evolution inclusions via the truncated Lipschitz property.
doi_str_mv	10.1134/S1995080224600298
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subjects	Algebra Analysis Evolution Geometry Inclusions Mathematical Logic and Foundations Mathematics Mathematics and Statistics Perturbation Probability Theory and Stochastic Processes Time dependence
title	Truncated Perturbation to Evolution Problems Involving Time-Dependent Maximal Monotone Operators
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