BV periodic solutions of an evolution problem associated with continuous moving convex sets期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

BV periodic solutions of an evolution problem associated with continuous moving convex sets

Authors:	Charles Castaing and Manuel D. P. Monteiro Marques

Affiliation:	(1) Département de Mathématiques, Université de Montpellier II, case 051, Place Eugène Bataillon, 34095 Montpellier cedex 05, France;(2) CMAF and Faculdade de Ciências da Universidade de Lisboa, Av. Prof. Gama Pinto, 2, P-1699 Lisbon, Portugal

Abstract:	This paper is concerned with BV periodic solutions for multivalued perturbations of an evolution equation governed by the sweeping process (or Moreau's process). The perturbed equation has the form –DuN_C(t)(u(t))+F(t,u(t)), whereC is a closed convex valued continuousT-periodic multifunction from [0,T] to ^d,N^C(t)(u(t)) is the normal cone ofC(t) atu(t),F: [0,T]×^d^d is a compact convex valued multifunction and Du is the differential measure of the periodic BV solutionu. Several existence results for this differential inclusion are stated under various assumptions on the perturbationF.

Keywords:	35K22 34A60
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