Higher dimensional moving singularities in a superlinear parabolic equation
Higher dimensional moving singularities in a superlinear parabolic equation
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超线性抛物线方程中的高维移动奇点
DOI：
10.1007/s00028-018-0452-4
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
J. Takahashi and E. Yanagida
中科院分区：
文献类型：
--
作者：
K. P. P. Htoo;J. Takahashi and E. Yanagida
研究了一类超线性抛物型方程奇异解的存在性。证明了在非线性的某些生长条件下，存在一个奇异点形成一个一维或高维时相关集的解。这种解是通过修改线性热方程的奇异解来构造的。
This paper is concerned with the existence of singular solutions of a superlinear parabolic equation. It is shown that under some growth conditions on the nonlinearity, there exists a solution whose singularity forms a one or higher-dimensional time-dependent set. Such solutions are constructed by modifying singular solutions of the linear heat equation.