一类带有非线性边界流的退化抛物方程的整体存在性及爆破

摘要

In this paper,we investigate the positive solution for a degenerate equation with nonlinear boundary flux.We first establish the local existence and uniqueness of the classical solution.Secondly,we obtain conditions on the existence and non-existence of global positive solutions by using the comparison principle and integral method.%研究一类带有非线性边界流的退化抛物方程的正解.证明了经典解的局部存在唯一性,并用比较原理和积分方法得到了该问题的解在有限时刻爆破及整体存在的充分条件.