摘要
该文研究的问题源自于生物学与物理学中具有间断介电系数的静电场.作者以拟微分算子为主要工具讨论具间断系数的半线性二阶椭圆型方程解的存在性和正则性.
The mathematical problem discussed in the paper is derived from the electric field with discontinuous dielectric constants arising in biology and physics. The author will study the existence and regularity of solutions to semi-linear second order elliptic equations with discontinuous coefficients. The pseudo differential operator is a basic tool in the present paper.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2005年第5期685-693,共9页
Acta Mathematica Scientia
关键词
正则性
拟微分算子
间断系数
Regularity
Pseudo differential operator
Discontinuous coefficients
