摘要
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。
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.
出处
《贵州师范大学学报（自然科学版）》
CAS
2008年第3期59-64,共6页
Journal of Guizhou Normal University：Natural Sciences
基金
The Science Research Foundation of China West Normal University(07B0746)
关键词
退化抛物方程
非线性边界流
爆破
degenerate parabolic equation
nonlinear boundary flux
blow-up
