The evolution problem known as sweeping process is considered for a class of nonconvex sets called prox-regular (or o-convex). Assuming, essentially, that such sets contain in the interior a suitable subset and move continuously (w.r.t. the Hausdorff distance), we prove local and global existence as well as uniqueness of solutions, which are continuous functions with bounded variation. Some examples are presented. © 2002 Elsevier Science (USA). All rights reserved.
Sweeping by a continuous prox-regular set
COLOMBO, GIOVANNI;
2003
Abstract
The evolution problem known as sweeping process is considered for a class of nonconvex sets called prox-regular (or o-convex). Assuming, essentially, that such sets contain in the interior a suitable subset and move continuously (w.r.t. the Hausdorff distance), we prove local and global existence as well as uniqueness of solutions, which are continuous functions with bounded variation. Some examples are presented. © 2002 Elsevier Science (USA). All rights reserved.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
