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超双曲型方程定性研究的几个问题
引用本文:凌岭.超双曲型方程定性研究的几个问题[J].西北大学学报,1989(3).
作者姓名:凌岭
作者单位:西北大学数学系
基金项目:中国科学院科学基金资助的课题
摘    要:本文主要提出起双曲型方程定性研究的几个问题:中量定理的推广与应用;广义势;解的延拓性;境界值问题。同时指出:Hadamard提出的“所有线性偏微分方程的问题,应该并且可以用基本解来解决”的思想,是开展超双曲型方程定性研究的途径。

关 键 词:方程  超双曲型方程  定性研究

Some Problems of Qualitative Researches of the Ultra-hyperbolic Equation
Ling Ling.Some Problems of Qualitative Researches of the Ultra-hyperbolic Equation[J].Journal of Northwest University(Natural Science Edition),1989(3).
Authors:Ling Ling
Institution:Ling Ling Department of Mathematics
Abstract:The present paper is a resume in the qualitative researches of the ul- tra-hyperbolic equation, it involves the extensions of mean value theorem and its applications; the generilized potential; the continuations and bou- dary problems. Especially, we suggest to study the ultra-hyperbolic equn- ation by means of the elementary solution, which is a natual way.
Keywords:Eguation  Ultrahyperblic eguation  Qualitative reaserches  
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