Removable isolated singularities for solutions of anisotropic porous medium equation

被引：2
|
作者：
Shan, M. A. [1 ]
机构：
[1] Vasyl Stus Donetsk Natl Univ, Ul 600 Richya 21, UA-21021 Vinnytsia, Ukraine
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2017年 / 196卷 / 05期
关键词：
Anisotropic porous medium equation; Removable isolated singularity; Pointwise estimates; ELLIPTIC-EQUATIONS; REGULARITY; EXISTENCE;
D O I：
10.1007/s10231-017-0647-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a class of quasilinear parabolic equations with model representative. partial derivative u/partial derivative t - Sigma(n)(i= 1) partial derivative/partial derivative(xi)(|u|(mi-1)partial derivative u/partial derivative(xi) = 0, m(i) > 1, i = 1,..., s, m(i) < 1, i = s + 1,..., n. We establish the pointwise condition for removability of singularity for solutions of such equations.
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页码：1913 / 1926
页数：14
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