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Evolution Problems with m -Accretive Operators and Perturbations

Author

Listed:
  • 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)

Abstract

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.

Suggested Citation

  • Charles Castaing & Christiane Godet-Thobie & Manuel D. P. Monteiro Marques & Anna Salvadori, 2022. "Evolution Problems with m -Accretive Operators and Perturbations," Mathematics, MDPI, vol. 10(3), pages 1-32, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:317-:d:729432
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    Cited by:

    1. Anca Croitoru & Radko Mesiar & Anna Rita Sambucini & Bianca Satco, 2022. "Special Issue on Set Valued Analysis 2021," Mathematics, MDPI, vol. 10(15), pages 1-2, July.

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