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Uniqueness of singular self-similar solutions of a semilinear parabolic equation (1605.07394v1)

Published 24 May 2016 in math.AP

Abstract: We study the uniqueness of singular radial (forward and backward) self-similar positive solutions of the equation $u_t-\Delta u = up, \quad x\in{\mathbb R}n,\ t>0,$ where $p\geq(n+2)/(n-2)_+$.

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