摘要
主要研究了一类非线性双重退化抛物方程初边值问题。由于方程的退化性,文中首先运用正则化的方法将其正则化,然后基于文中对近似解的若干估计得到该问题局部解存在性的结论。该结论将相关文献的主要结果推广到了更一般的情形。
This paper deals with the initial - boundary value problems for a class of doubly degenerate parabolic equations. Owing to the degeneracy of the equation, we regularized the equations firstly, then obtained the existence of local - in - time weak solutions based on some suitable estimates on the approximate solutions. The conclusion generalizes the main results in the corresponding references cited in the paper.
出处
《大连民族学院学报》
CAS
2008年第3期250-253,共4页
Journal of Dalian Nationalities University
关键词
双重退化抛物方程
初边值问题
正则化
doubly degenerate parabolic equation
initial- boundary value problem
regularization
