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


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Abstract

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

\( {u}_t-\sum_{i=1}^n{\left({u}^{m_i-1}{u}_{x_i}\right)}_{x_i}+f(u)=0,u\ge 0, \)

is proved.

About the authors

Maria A. Shan

Vasyl’ Stus Donetsk National University

Author for correspondence.
Email: shan_maria@ukr.net
Ukraine, Vinnytsya

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