Work

Projection process with definable right-hand side

Year: 2017

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1711.03315

Authors: Bivas, Mira, Ribarska, Nadezhda

Institutions: Sofia University "St. Kliment Ohridski", Institute of Mathematics and Informatics

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2954565874

Cites: 8

Cited by:

Related to: 20