Removability of an isolated singularity for solutions of anisotropic porous medium equation with absorption term

Maria A. Shan

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Removability of an isolated singularity for solutions of anisotropic porous medium equation with absorption term

机译：具有吸收项的各向异性多孔介质方程解的孤立奇点的可移除性

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摘要

The removability of an isolated singularity for solutions to the quasilinear equation is proved.

机译：证明了拟奇异方程解的孤立奇点的可移动性。

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来源
《Journal of Mathematical Sciences》 |2017年第6期|741-749|共9页
作者
Maria A. Shan;
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作者单位

Vasyl' Stus Donetsk National University, Vinnytsya, Ukraine;

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原文格式 PDF
正文语种 eng
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关键词
Quasilinear parabolic equations; removable isolated singularity;

机译：拟线性抛物方程可移动的孤立奇点;

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专利

1. Removable isolated singularities for solutions of anisotropic porous medium equation [J] . Shan M. A. Annali di matematica pura ed applicata . 2017,第5期

机译：各向异性多孔介质方程解除可拆卸的孤立奇数
2. Keller-Osserman estimates and removability result for the anisotropic porous medium equation with gradient absorption term [J] . Shan M. A., Skrypnik I. I. Mathematische Nachrichten . 2019,第2期

机译：Keller-Osserman具有梯度吸收项的各向异性多孔介质方程的估算和可移除性结果
3. Keller-Osserman a priori estimates and the removability result for the anisotropic porous medium equation with absorption term [J] . Maria A. Shan Journal of Mathematical Sciences . 2018,第1期

机译：带吸收项的各向异性多孔介质方程的Keller-Osserman先验估计和可移动性结果
4. WEAKLY-SINGULAR INTEGRAL EQUATIONS FOR STEADY STATE FLOW IN ANISOTROPIC POROUS MEDIA CONTAINING DISCONTINUITY SURFACES [C] . Jaroon Rungamornrat, Mary F. Wheeler, Xiuli Gai AMD-vol.256; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20051105-11; Orlando,FL(US) . 2005

机译：含不连续表面的各向异性多孔介质中稳态流动的弱奇异积分方程
5. Moving Mesh Methods for Numerical Solution of Porous Medium Equations [D] . Ngo, Cuong 2017

机译：多孔介质方程数值解的移动网格方法
6. The one-phase Stefan problem and the porous medium diffusion equation: Continuity of the solution in n space dimensions [O] . Luis A. Caffarelli, Avner Friedman 1978

机译：一相Stefan问题和多孔介质扩散方程：n空间维中解的连续性
7. Singular limit of solutions of the porous medium equation with absorption [O] . Kin Ming Hui 1998

机译：吸收多孔介质方程解的奇异极限
8. ON ISOLATED SINGULARITIES OF SOLUTIONS OF SECOND ORDER ELLIPTIC DIFFERENTIAL EQUATIONS [R] . D. GILBARG, JAMES SERRIN 1956

机译：关于二阶椭圆型微分方程解的孤立奇异性

Removability of an isolated singularity for solutions of anisotropic porous medium equation with absorption term

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