Evolution Problems with <i>m</i>-Accretive Operators and Perturbations
Charles Castaing,
Christiane Godet-Thobie,
Manuel D. P. Monteiro Marques,
Anna Salvadori
Affiliations
Charles Castaing
Centre National de la Recherche Scientifique (CNRS), Institut Montpelliérain Alexander Grothendieck (IMAG), University Montpellier, 34090 Montpellier, France
Christiane Godet-Thobie
Laboratoire de Mathématiques de Bretagne Atlantique, Université de Bretagne Occidentale, CNRS UMR 6205, 6, Avenue Victor Le Gorgeu, CS 9387, 29238 Brest, France
Manuel D. P. Monteiro Marques
Center of Mathematics, Fundamental Applications and Operations Research (CMAF-CIO), Departamento de Matemática, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal
Anna Salvadori
Dipartimento di Matematica, Universita di Perugia, via Vanvitelle 1, 06123 Perugia, Italy
This paper is devoted to the study of perturbation evolution problems involving time-dependent m-accretive operators. We present for a specific class of m-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 m-accretive operators and Skorohod differential inclusions.
