BV periodic solutions of an evolution problem associated with continuous moving convex sets |
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| Authors: | Charles Castaing and Manuel D P Monteiro Marques |
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| Institution: | (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 |
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| 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 –Du N
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. |
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| Keywords: | 35K22 34A60 |
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