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arXiv · 1711.03315

Projection process with definable right-hand side

Mira Bivas·Nadezhda Ribarska
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Abstract

We study the relation between sweeping processes with the cone of limiting normals and projection processes. We prove the existence of solution of a perturbed sweeping process with the cone of limiting normals and of nonstationary projection process, provided the sets involved are definable (and are moving in a definable way) in some o-minimal structure. An application to a crowd motion model is presented.

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Mira Bivas, Nadezhda Ribarska. 2017-11-09. Projection process with definable right-hand side. https://arxiv.org/abs/1711.03315

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