Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds

By P. Mastrolia, D. Monticelli, Fabio Punzo. 2015

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We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds. In particular, we highlight the interplay between the geometry of the underlying manifold, the power nonlinearity and the behavior of the potential at infinity.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/0fbb47eeeff81538b6d48076323e7930e3c32c6c