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• W2334530178 startingPage "1761" @default.
• W2334530178 abstract "We study the dead-core rate for the solution of the porous medium equation with a strong absorption.It is known that solutions with certain class of initial data develop a dead-core in finite time.We prove that, unlike the cases of semilinear heat equation and fast diffusion equation, there are solutions with the self-similardead-core rate. This result is based on the construction of a Lyapunov functional, some a priori estimates,and a delicate analysis of the associated re-scaled ordinary differential equation." @default.
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• W2334530178 date "2012-05-01" @default.
• W2334530178 modified "2023-09-26" @default.
• W2334530178 title "Dead-core rates for the porous medium equation with a strong absorption" @default.
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• W2334530178 doi "https://doi.org/10.3934/dcdsb.2012.17.1761" @default.
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