6 citations · 19 across the 55 of their papers we have counts for
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math.AP2017
Porous medium equations on manifolds with critical negative curvature: unbounded initial data
Matteo Muratori, Fabio Punzo
We investigate existence and uniqueness of solutions of the Cauchy problem for the porous medium equation on a class of Cartan-Hadamard manifolds. We suppose that the radial Ricci…
math.AP2017
Global Solutions of Semilinear Parabolic Equations on Negatively Curved Riemannian Manifolds
Fabio Punzo
We are concerned with global existence for semilinear parabolic equations on Riemannian manifolds with negative sectional curvatures. A particular attention is paid to the class of…
math.AP2017
Reaction-diffusion problems on time-dependent Riemannian manifolds: stability of periodic solutions
Catherine Bandle, Dario Daniele Monticelli, Fabio Punzo
We investigate the stability of time-periodic solutions of semilinear parabolic problems with Neumann boundary conditions. Such problems are posed on compact submanifolds evolving…