一类退化抛物方程的局部化性质

Localization Property of a Class Degenerate Parabolic Eqations

讨论了一类非线性退化方程，采用ＤｅＧｉｏｒｇｉ迭代技巧，得到了一些先验估计。

In this paper, a class of nonlinear degenerate parabolic equations u t= div (a ij (x,t)|u| p-2 u)-f(u), u(x,0)=u 0(x) , x∈R N is discussed. It uses De Giorgi iterative method and obtains some priori estimates, and then it makes a further study of the localization property of the solution to Cauchy problem described by the degenerate parabolic equations.