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- W2319705592 abstract "We consider the Cauchy problem for a classof nonlinear parabolic equations with variable density in thehyperbolic space, assuming that the initial datum has compactsupport. 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 extendto the case of the hyperbolic space those given in [8] forthe Cauchy problem in $mathbb{R}^n$." @default.
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- W2319705592 date "2012-01-01" @default.
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- W2319705592 title "Support properties of solutions to nonlinear parabolic equations with variable density in the hyperbolic space" @default.
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- W2319705592 doi "https://doi.org/10.3934/dcdss.2012.5.657" @default.
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