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Rate of convergence to a singular steady state of a supercritical parabolic equation

Authors:	Marek Fila Michael Winkler

Institution:	(1) Department of Applied Mathematics and Statistics, Comenius University, 84248 Bratislava, Slovakia

Abstract:	We study global positive solutions of a supercritical parabolic equation which converge to a steady state that is singular at x = 0. We determine the rate of convergence to the singular steady state in $L^\infty({\mathbb{R}}^{N} \ B_{\nu}(0))$ where B _ν(0) is a ball in ${\mathbb{R}}^{N}$ with the center at the origin and radius ν.

Keywords:	:" target="_blank">: semilinear parabolic equation supercritical nonlinearity convergence of solutions
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