Uniqueness of singular self-similar solutions of a semilinear parabolic equation
classification
🧮 math.AP
keywords
equationself-similarsingularsolutionsuniquenessbackwarddeltaforward
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We study the uniqueness of singular radial (forward and backward) self-similar positive solutions of the equation $u_t-\Delta u = u^p, \quad x\in{\mathbb R}^n,\ t>0,$ where $p\geq(n+2)/(n-2)_+$.
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