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.
Samet, B., Vetro, C. (2023). A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain. MATHEMATICS, 11(10), 1-14 [10.3390/math11102283].
A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain
Vetro, C
2023-05-14
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.
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