2 citations · 3 across the 16 of their papers we have counts for
26 papers
Global existence for reaction-diffusion evolution equations driven by the -Laplacian on manifolds
Gabriele Grillo, Giulia Meglioli, Fabio Punzo
We consider reaction-diffusion equations driven by the -Laplacian on noncompact, infinite volume manifolds assumed to support the Sobolev inequality and, in some cases, to have…
Uniqueness for fractional parabolic and elliptic equations with drift
Giulia Meglioli, Fabio Punzo
We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic equations with a drift.
The porous medium equation with large data on Cartan-Hadamard manifolds under general curvature bounds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We consider very weak solutions of the Cauchy problem for the porous medium equation on Cartan-Hadamard manifolds, that are assumed to satisfy general curvature bounds and to be st…
Nonexistence of solutions to quasilinear parabolic equations with a potential in bounded domains
Giulia Meglioli, Dario D. Monticelli, Fabio Punzo
We are concerned with nonexistence results for a class of quasilinear parabolic differential problems with a potential in , where is a bounded domain. In pa…
Global Solutions of Semilinear Parabolic Equations with Drift Term on Riemannian Manifolds
Fabio Punzo
We study existence and non-existence of global solutions to the semilinear heat equation with a drift term and a power-like source term, on Cartan-Hadamard manifolds. Under suitabl…
Global existence of solutions and smoothing effects for classes of reaction-diffusion equations on manifolds
Gabriele Grillo, Giulia Meglioli, Fabio Punzo
We consider the porous medium equation with a power-like reaction term, posed on Riemannian manifolds. Under certain assumptions on and in (1.1), and for small enough nonne…