摘要
本文考虑具耗散项的渗流方程的第一初边值问题整体古典解存在性问题,指出了文[1]中所用Galerkin方法的不完整性,用抛物正则化方法完成了在一定条件下古典解存在性的证明。
This paper is devoted to the global existence of classical solutions of the first boundary value problem for the filtration equation with absorption. The similar question has ever been considered in [1] based on the Galerkin method, but the proff is incomplete. After pointing out the incompleteness, the paper deals with the global existence of classical solutions under the smallness condition for the initial data by the method of parabolic regularization instead of the Galerkin method.
出处
《吉林大学自然科学学报》
CAS
CSCD
1991年第1期13-16,共4页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
渗流方程
古典解
存在性
filtration equation, classical solutions, global existence
