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- W2001612299 abstract "We study the behavior of solutions of the Cauchy problem for a semilinear parabolic equation with a singular power nonlinearity. It is known for a supercritical heat equation that if two solutions are initially close enough near the spatial infinity, then these solutions approach each other. In fact, given a specific decay rate of initial data, a sharp estimate of the convergence rate can be obtained explicitly. The main purpose of this research is to show a similar result for a semilinear parabolic equation with a singular absorption term. We also obtain a universal lower bound of the convergence rate which implies the optimality of the result. Proofs are given by a comparison method that is based on matched asymptotic expansion." @default.
- W2001612299 created "2016-06-24" @default.
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- W2001612299 date "2009-09-01" @default.
- W2001612299 modified "2023-10-01" @default.
- W2001612299 title "Convergence rate for a semilinear parabolic equation with a singular nonlinearity" @default.
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- W2001612299 doi "https://doi.org/10.1016/j.na.2009.01.059" @default.
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