Blow-up sets and asymptotic behavior of interfaces for quasilinear degenerate parabolic equations in RN
Blow-up sets and asymptotic behavior of interfaces for quasilinear degenerate parabolic equations in RN
In this paper we shall consider the Cauchy problem (0.1) $\partial_{t}\beta(u)=\Delta u+f(u)$ in $(x, t)\in R^{N}\cross(0, T)$ , (0.2)where $\partial_{t}=\partial/\partial t,$ $\Delta$ is the $N$ -dimensional Laplacian and $\beta(v),$ $f(v)$ with $v\geqq 0$ and $u_{0}(x)$ are nonnegative functions.Equation (0.1) describes the combustion process in a stationary medium, in which the …