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RESEARCH PRODUCT
A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain
Bessem SametCalogero Vetrosubject
viscoelastic problem; hardy potential; exterior domain; nonexistencenonexistenceSettore MAT/05 - Analisi MatematicaGeneral MathematicsComputer Science (miscellaneous)hardy potentialexterior domainEngineering (miscellaneous)viscoelastic problemdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2023-05-14 |