Blow-up for degenerate parabolic equations with nonlocal source
Blow-up for degenerate parabolic equations with nonlocal source
This paper deals with the blow-up properties of the solution to the degenerate nonlinear reaction diffusion equation with nonlocal source $x^{q}u_{t}-(x^{\gamma }u_{x})_{x}=\int _{0}^{a}u^{p}dx$ in $(0,a)\times (0,T)$ subject to the homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution …