一类双重退化抛物方程初边值问题局部解的存在性  

Existence of Local Solutions to a Class of Doubly Degenerate Parabolic Equations with Initial-boundary Value Conditions

作　　者：丛树强[1] 谢丛波[1] 

机构地区：[1]大连民族学院理学院,辽宁大连116605

出　　处：《大连民族学院学报》2008年第3期250-253,共4页Journal of Dalian Nationalities University

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.

关 键 词：双重退化抛物方程 初边值问题 正则化 

分 类 号：O175.8[理学—数学]