Evolution Problems with <i>m</i>-Accretive Operators and Perturbations

Evolution Problems with <i>m</i>-Accretive Operators and Perturbations

This paper is devoted to the study of perturbation evolution problems involving time-dependent <i>m</i>-accretive operators. We present for a specific class of <i>m</i>-accretive operators with convex weakly compact-valued perturbation, some results about the existence of abs...

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Bibliographic Details
Main Authors: Charles Castaing, Christiane Godet-Thobie, Manuel D. P. Monteiro Marques, Anna Salvadori
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Mathematics
Subjects:
evolution problems
<i>m</i>-accretive operator
perturbation
AC solution
BRVC solution
second-order evolution inclusion
Online Access:https://www.mdpi.com/2227-7390/10/3/317
Description
Summary:This paper is devoted to the study of perturbation evolution problems involving time-dependent <i>m</i>-accretive operators. We present for a specific class of <i>m</i>-accretive operators with convex weakly compact-valued perturbation, some results about the existence of absolutely continuous solutions and BRVC solutions. We finish by giving several applications to various domains such as relaxation results, second-order evolution inclusions, fractional-order equations coupled with <i>m</i>-accretive operators and Skorohod differential inclusions.
ISSN:2227-7390

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