拟微分方程组边值问题的局部可解性  

On Local Solvability of Boundary Value Problem of Systems of Pseudo differential Equations.

作　　者：周继东[1] 

机构地区：[1]河海大学数理系

出　　处：《应用数学》1999年第1期101-105,共5页Mathematica Applicata

摘　　要：本文利用构造渐进解的方法给出了含两个自变量的一阶及高阶线性拟微分方程组边值问题局部可解的微局部形式的必要条件，并将所得结果应用于平面线性弹性静力学方程组，得到了其一类边值问题的非局部可解性．Abstract In this paper,by use of constructing a asymptotic solution,we give a necessary codition of microlocal form to the local solvability of boundary value problem of the system of pseudo-differential equations of first order and high order with two variables,and by use this conclusion to the system of differential equtions of linear elastic mechanics on the plane,we conclude the uscolvability of a kind of boundary value problem to that system.

关 键 词：拟微分方程组 边值问题 局部可解性 线性 

分 类 号：O175.8[理学—数学]