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

Uniqueness of singular self-similar solutions of a semilinear parabolic equation
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半线性抛物型方程奇异自相似解的唯一性

DOI:
10.57262/die/1537840874
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发表时间:
2016
影响因子:
1.4
通讯作者:
P. Quittner
P. Quittner
中科院分区:
数学4区
文献类型:
--
作者:
P. Quittner

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研究了方程u_t-u=u^p,x_4在{\mathbb R}^n,\t>0,$中奇径向(向前和向后)自相似正解的唯一性,其中$p\geq(n+2)/(n-2)_+$.
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 $p\geq(n+2)/(n-2)_+$.