6533b870fe1ef96bd12cfc13

RESEARCH PRODUCT

Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds

Mohamed JleliBessem SametCalogero Vetro

subject

Computational MathematicsNumerical AnalysisRiemannian manifoldsnontrivial global weak solutionsSettore MAT/05 - Analisi MatematicaApplied Mathematicshigher order evolution inequalitiesNonexistenceAnalysis

description

We establish sufficient conditions for the nonexistence of nontrivial solutions to higher order evolution inequalities, with respect to the time variable. We consider a nonlocal source term, and work on complete noncompact Riemannian manifolds. The obtained conditions depend on the parameters of the problem and the geometry of the manifold. Our main result recovers some nonexistence theorems from the literature, established in the whole Euclidean space.

yearjournalcountryeditionlanguage
2022-04-20
10.1080/17476933.2022.2061474http://hdl.handle.net/10447/553560