不可逆椭圆边值问题的伪解

The Pseudo-solution for the Non Invertible Elliptic Boundary Value Problem

本文在 L^P(Ω)中,对于不可逆椭圆方程 Neumann 问题引入伪解的概念,证得伪解的存在性与唯一性,推广了文献[1]关于最小二乘解的相应结论。

The concept of pseudo-solution for the non-intertiable elliptic Neumann problem is introduced and the existence and uniqueness of the psedo-solution in the spaceLP(Ω)is proved which extend the result for the least sguare so- lution(see(1)).