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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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/3/317 |
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| author | Charles Castaing Christiane Godet-Thobie Manuel D. P. Monteiro Marques Anna Salvadori |
| author_facet | Charles Castaing Christiane Godet-Thobie Manuel D. P. Monteiro Marques Anna Salvadori |
| author_sort | Charles Castaing |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T23:33:21Z |
| format | Article |
| id | doaj.art-9a5c0647cbec406e965d502c930444eb |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:33:21Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9a5c0647cbec406e965d502c930444eb2023-11-23T17:05:34ZengMDPI AGMathematics2227-73902022-01-0110331710.3390/math10030317Evolution Problems with <i>m</i>-Accretive Operators and PerturbationsCharles Castaing0Christiane Godet-Thobie1Manuel D. P. Monteiro Marques2Anna Salvadori3Centre National de la Recherche Scientifique (CNRS), Institut Montpelliérain Alexander Grothendieck (IMAG), University Montpellier, 34090 Montpellier, FranceLaboratoire de Mathématiques de Bretagne Atlantique, Université de Bretagne Occidentale, CNRS UMR 6205, 6, Avenue Victor Le Gorgeu, CS 9387, 29238 Brest, FranceCenter of Mathematics, Fundamental Applications and Operations Research (CMAF-CIO), Departamento de Matemática, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, PortugalDipartimento di Matematica, Universita di Perugia, via Vanvitelle 1, 06123 Perugia, ItalyThis 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.https://www.mdpi.com/2227-7390/10/3/317evolution problems<i>m</i>-accretive operatorperturbationAC solutionBRVC solutionsecond-order evolution inclusion |
| spellingShingle | Charles Castaing Christiane Godet-Thobie Manuel D. P. Monteiro Marques Anna Salvadori Evolution Problems with <i>m</i>-Accretive Operators and Perturbations Mathematics evolution problems <i>m</i>-accretive operator perturbation AC solution BRVC solution second-order evolution inclusion |
| title | Evolution Problems with <i>m</i>-Accretive Operators and Perturbations |
| title_full | Evolution Problems with <i>m</i>-Accretive Operators and Perturbations |
| title_fullStr | Evolution Problems with <i>m</i>-Accretive Operators and Perturbations |
| title_full_unstemmed | Evolution Problems with <i>m</i>-Accretive Operators and Perturbations |
| title_short | Evolution Problems with <i>m</i>-Accretive Operators and Perturbations |
| title_sort | evolution problems with i m i accretive operators and perturbations |
| topic | evolution problems <i>m</i>-accretive operator perturbation AC solution BRVC solution second-order evolution inclusion |
| url | https://www.mdpi.com/2227-7390/10/3/317 |
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