A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain-Reference-Cited by-同舟云学术

A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain

Published:2023-05-14 Issue:10 Volume:11 Page:2283
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Samet Bessem¹^ORCID,Vetro Calogero²^ORCID

Affiliation:

1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy

Abstract

A Cauchy viscoelastic problem perturbed by an inverse-square potential, and posed in an exterior domain of RN, is considered under a Dirichlet boundary condition. Using nonlinear capacity estimates specifically adapted to the non-local nature of the problem, the potential function and the boundary condition, we establish sufficient conditions for the nonexistence of weak solutions.

Funder

King Saud University

research fund of University of Palermo

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/10/2283/pdf

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