BV solutions of nonconvex sweeping process differential inclusion with perturbation |
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Authors: | Jean Fenel Edmond |
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Institution: | Université Montpellier II, Département de Mathématiques, Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier cedex 5, France |
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Abstract: | This paper is devoted to the study of differential inclusions, particularly discontinuous perturbed sweeping processes in the infinite-dimensional setting. On the one hand, the sets involved are assumed to be prox-regular and to have a variation given by a function which is of bounded variation and right continuous. On the other hand, the perturbation satisfies a linear growth condition with respect to a fixed compact subset. Finally, the case where the sets move in an absolutely continuous way is recovered as a consequence. |
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Keywords: | primary 34A60 49J52 secondary 49J24 49J53 |
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