摘要
考察在两维平面上,当边界并非光滑的情况下,一类一阶椭圆型方程组的边值问题.采取了Schauder估计的方法,选取一种加权的Hlder范数,通过将一阶椭圆组化为二阶的形式,利用二阶椭圆方程相关结果,得到了方程组的正则性和Fredholm型可解性结果.
A boundary problem for first order elliptic system of differential equations in two dimensional domain with nonsmooth boundary is considered. The problem is changed to a corresponding boundary value problem for an elliptic equation of seoond order. By using the estimates in a weighted Holder space for second order equations, a priori estimates for the first order elliptic system is established. Then the regularity theorem and Fredholm alternative existence theorem for our boundary value problem are proved.
出处
《复旦学报（自然科学版）》
CAS
CSCD
北大核心
2007年第2期209-214,220,共7页
Journal of Fudan University：Natural Science
