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Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
- Publication Year :
- 2015
-
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.
- Subjects :
- Mathematics - Analysis of PDEs
35K59, 35K92, 35R01, 53C20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1502.07593
- Document Type :
- Working Paper