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20192026
most citedBlow-up and global existence for the inhomogeneous porous medium equation with reaction

2 citations · 4 across the 18 of their papers we have counts for

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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…