数学物理学报 ›› 2005, Vol. 25 ›› Issue (5): 685-693.

• 论文 • 上一篇    下一篇

间断系数的二阶椭圆型方程解的正则性

 兴梅   

  1. 复旦大学数学研究所 上海 200433
  • 出版日期:2005-10-25 发布日期:2005-10-25

Regularity of Solutions to Second Order Elliptic Equations with Discontinuous Coefficients

 XIN Mei   

  • Online:2005-10-25 Published:2005-10-25

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 。

关键词: 正则性, 拟微分算子, 间断系数

Abstract:

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.

Key words: Regularity, Pseudo differential operator, Discontinuous coefficients

中图分类号: 

  • 35R05