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arXiv · 1502.07593

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

P. Mastrolia·D. D. Monticelli·F. Punzo
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Abstract

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.

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P. Mastrolia, D. D. Monticelli, F. Punzo. 2015-02-26. Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds. https://arxiv.org/abs/1502.07593

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