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Article Dans Une Revue Mathematics Année : 2022

Evolution Problems with m-Accretive Operators and Perturbations

Résumé

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.
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hal-04423942 , version 1 (11-03-2024)

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Charles Castaing, Christiane Godet-Thobie, Manuel Monteiro Marques, Anna Salvadori. Evolution Problems with m-Accretive Operators and Perturbations. Mathematics , 2022, 10 (3), pp.317. ⟨10.3390/math10030317⟩. ⟨hal-04423942⟩
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