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A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain

Author

Listed:
  • 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)

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.

Suggested Citation

  • Bessem Samet & Calogero Vetro, 2023. "A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain," Mathematics, MDPI, vol. 11(10), pages 1-14, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2283-:d:1146717
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