超双曲型方程定性研究的几个问题  

Some Problems of Qualitative Researches of the Ultra-hyperbolic Equation

作　　者：凌岭[1] 

机构地区：[1]西北大学数学系

出　　处：《西北大学学报（自然科学版）》1989年第3期91-94,共4页Journal of Northwest University（Natural Science Edition）

基　　金：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。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.

关 键 词：偏微方程 超双曲型方程 定性 

分 类 号：O175.27[理学—数学]