Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set
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2019Metadata
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Vilches, Emilio
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Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set
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The aim of this paper is to prove existence results for a class of sweeping processes in Hilbert spaces by using the catching-up algorithm. These processes are governed by ball-compact non autonomous sets. Moreover, a full characterization of nonsmooth Lyapunov pairs is obtained under very general hypotheses. We also provide a criterion for weak invariance. Some applications to hysteresis and crowd motion are given.
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URI: https://repositorio.uchile.cl/handle/2250/172400
DOI: 10.1007/s11228-018-0480-9
ISSN: 18770541
09276947
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Set-Valued and Variational Analysis, Volumen 27, Issue 2, 2019, Pages 569-583
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