Uniqueness of singular self-similar solutions of a semilinear parabolic equation

2016/05/24 by Pavol Quíttner, Quittner, Pavol
Engineering · Mathematics · #35K58 #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1605.07394

openalex publication_date 2016/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the uniqueness of singular radial (forward and backward) self-similar positive solutions of the equation u_t-Δu = u^p, x∈\mathbb Rⁿ, t>0, where p≥(n+2)/(n-2)₊.

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