CodiceQDD 152
TitoloRadial fast diffusion on the hyperbolic space
Autore/iGrillo, G.; Muratori, M.
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AbstractWe consider positive radial solutions to the fast diffusion equation on the hyperbolic space. By radial we mean solutions depending only on the geodesic distance from a given point. We investigate the fine asymptotics of solutions near the extinction time, in terms of a separable solution, showing convergence in relative error of the former to the latter. Solutions are smooth, and bounds on derivatives are given as well. In particular, sharp convergence results are shown for spatial derivatives, again in the form of convergence in relative error.