A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain

Bessem Samet and Calogero Vetro ()
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Bessem Samet: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Calogero Vetro: Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy

Mathematics, 2023, vol. 11, issue 10, 1-14

Abstract: A Cauchy viscoelastic problem perturbed by an inverse-square potential, and posed in an exterior domain of R N , 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.

Keywords: viscoelastic problem; hardy potential; exterior domain; nonexistence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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