Singularity Analysis for a Class of Porous Medium Equation with Time‐Dependent Coefficients

Anyin Xia, Xianxiang Pu and Shan Li

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: This paper concerns the singularity and global regularity for the porous medium equation with time‐dependent coefficients under homogeneous Dirichlet boundary conditions. Firstly, some global regularity results are established. Furthermore, we investigate the blow‐up solution to the boundary value problem. The upper and lower estimates to the lifespan of the singular solution are also obtained here.

Date: 2016
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https://doi.org/10.1155/2016/8292835

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:8292835

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