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Nonexistence of solutions to parabolic problems with a potential on weighted graphs
Dario D. Monticelli, Fabio Punzo, Jacopo Somaglia
We investigate nonexistence of nontrivial nonnegative solutions to a class of semilinear parabolic equations with a positive potential, posed on weighted graphs. Assuming an upper…
math.AP2024
The porous medium equation on noncompact manifolds with nonnegative Ricci curvature: a Green function approach
Gabriele Grillo, Dario D. Monticelli, Fabio Punzo
We consider the porous medium equation (PME) on complete noncompact manifolds of nonnegative Ricci curvature. We require nonparabolicity of the manifold and construct a natural…