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

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AbstractThe removability of an isolated singularity for solutions to the quasilinear equationut−∑i=1numi−1uxixi+fu=0,u≥0,$$ {u}_t-\sum_{i=1}^n{\left({u}^{m_i-1}{u}_{x_i}\right)}_{x_i}+f(u)=0,u\ge 0, $$ is proved. Click to show full abstract

AbstractThe removability of an isolated singularity for solutions to the quasilinear equationut−∑i=1numi−1uxixi+fu=0,u≥0,$$ {u}_t-\sum_{i=1}^n{\left({u}^{m_i-1}{u}_{x_i}\right)}_{x_i}+f(u)=0,u\ge 0, $$ is proved.

Keywords: solutions anisotropic; removability isolated; singularity solutions; isolated singularity

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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