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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.

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Authors and Affiliations

  1. Vasyl’ Stus Donetsk National University, Vinnytsya, Ukraine

    Maria A. Shan

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  1. Maria A. Shan
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Correspondence to Maria A. Shan.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 13, No. 3, pp. 350–360 July–September, 2016.

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Shan, M.A. Removability of an isolated singularity for solutions of anisotropic porous medium equation with absorption term. J Math Sci 222, 741–749 (2017). https://doi.org/10.1007/s10958-017-3328-1

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  • DOI: https://doi.org/10.1007/s10958-017-3328-1

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