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math.AP2021
Blow-up versus global existence of solutions for reaction-diffusion equations on classes of Riemannian manifolds
Gabriele Grillo, Giulia Meglioli, Fabio Punzo
It is well known from the work of [2] that the Fujita phenomenon for reaction-diffusion evolution equations with power nonlinearities does not occur on the hyperbolic space $\mathb…
math.AP2021
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…
math.AP2021
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…