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

الملخص EN

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.