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退化抛物型方程组整体解的存在性
引用本文:陈才生.退化抛物型方程组整体解的存在性[J].河海大学学报(自然科学版),1988(5).
作者姓名:陈才生
作者单位:河海大学数学物理系
摘    要:对含有梯度项的退化抛物型方程(组)初边值问题的研究,己知的结果似乎较少.本文采用抛物型正则化的方法,讨论了一类带有梯度项的退化抛物型方程组的初边值问题,得到了其非负连续解的整体存在性,推广了 Maddalena L 的结果.

关 键 词:蜕缩型方程  非线性抛物型方程  弱解  边值问题

On the Existence of Global Solution for Degenerate Parabolic Equations
Chen Caisheng.On the Existence of Global Solution for Degenerate Parabolic Equations[J].Journal of Hohai University (Natural Sciences ),1988(5).
Authors:Chen Caisheng
Institution:Chen Caisheng
Abstract:It seems that we haven't got much information about the initial-boundary value problem of the degenerate parabolic equations containing the gradient terms.In this paper,with the method of parabolic regularization,the author proves the global existence of nonnegative solution for the initial-boundary value problem of a class of degenerate parabocic equations containing the gradient terms.It extends Maddalena L's result.
Keywords:degenerate equation  nonlinear parabocic eguations  weak solution  boundary value problem
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