Support properties of solutions to nonlinear parabolic equations with variable density in the hyperbolic space
Articolo
Data di Pubblicazione:
2012
Citazione:
Support properties of solutions to nonlinear parabolic equations with variable density in the hyperbolic space / F. Punzo. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 5:3(2012), pp. 657-670.
Abstract:
We consider the Cauchy problem for a class of nonlinear parabolic equations with variable density in the hyperbolic space, assuming that the initial datum has compact support. We provide simple conditions, involving the behaviour of the density at infinity, so that the support of every nonnegative solution is not compact at some positive time, or it remains compact for any positive time. These results extend to the case of the hyperbolic space those given in [8] for the Cauchy problem in IRn.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Comparison principles; Hyperbolic space; Laplace-Beltrami operator; Sub- and supersolutions; Support of solutions
Elenco autori:
F. Punzo
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