Abstract
We study the behavior of solutions of the Cauchy problem for a parabolic equation with power nonlinearity. Our concern is the rate of convergence of solutions to forward self-similar solutions. We determine the exact rate of convergence which turns out to depend on the spatial decay rate of initial data.
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CITATION STYLE
APA
Fila, M., Winkler, M., & Yanagida, E. (2008). Convergence to self-similar solutions for a semilinear parabolic equation. Discrete and Continuous Dynamical Systems, 21(3), 703–716. https://doi.org/10.3934/dcds.2008.21.703
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