Abstract. This paper deals with the global existence and blow-up to nonnegative solution of a degenerate parabolic equation with time dependent coefficients under homogeneous Dirichlet boundary conditions. We establish the results on global existence and blow up solution to the system.
In this paper, we study the global existence and nonexistence to the nonnegative solution of a class of parabolic systems with time-dependent coefficients. More precisely, the existence of a global solution is established via the standard comparison principle. Furthermore, we establish a blow-up solution and obtain both upper and lower bounds for the maximum blow-up time under some appropriate hypotheses.
MSC: 35K20; 35K55; 35K65; 80M35
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.
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