Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities

In this paper, we analyze and discuss the well-posedness of two new variants of the so-called sweeping process, introduced by Moreau in the early 70s (Moreau in Sém Anal Convexe Montpellier, 1971 ) with motivation in plasticity theory. The first new variant is concerned with the perturbation of the...

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Bibliographic Details
Published in:	Mathematical programming Vol. 148; no. 1-2; pp. 5 - 47
Main Authors:	Adly, Samir, Haddad, Tahar, Thibault, Lionel
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2014 Springer Nature B.V Springer Verlag
Subjects:	Analysis Applied mathematics Approximation Calculus of Variations and Optimal Control; Optimization Combinatorics Computer engineering Computer science Computer simulation Convex analysis Differential equations Evolution Full Length Paper Inclusions Inequalities Integrals Mathematical analysis Mathematical and Computational Physics Mathematical Methods in Physics Mathematical models Mathematical programming Mathematics Mathematics and Statistics Mathematics of Computing Mechanics Numerical Analysis Operators Optimization and Control Ordinary differential equations Studies Sweeping Theoretical Normal cones 58E35 Convex integral functional 49J53 Evolution variational inequality Differential inclusion Moreau’s sweeping process 34G25
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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