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Uniqueness of singular self-similar solutions of a semilinear parabolic equation
Differential and Integral Equations ( IF 1.4 ) Pub Date : 2018-09-25
Pavol Quittner

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

中文翻译:

半线性抛物方程奇异自相似解的唯一性

我们研究方程$ u_t- \ Delta u = u ^ p,$ $ x \ in \ mathbb R ^ n,\ t> 0,$的奇异径向(向前和向后)自相似正解的唯一性p \ geq(n + 2)/(n-2)_ + $。
更新日期:2018-09-25
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