BV solutions of nonconvex sweeping process differential inclusion with perturbation
BV solutions of nonconvex sweeping process differential inclusion with perturbation
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DOI：
10.1016/j.jde.2005.12.005
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发表时间：
2006-07
影响因子：
2.4
通讯作者：
J. Edmond;L. Thibault
中科院分区：
文献类型：
--
作者：
J. Edmond;L. Thibault
本文致力于研究微分夹杂物，特别是无限维环境中的不连续扰动扫掠过程。一方面，所涉及的集合被假定为近似正则集，并且具有由有界变分且右连续的函数给出的变分。另一方面，扰动满足相对于固定紧凑子集的线性增长条件。最后，结果恢复了集合以绝对连续方式移动的情况。
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.