Stability results for a Cauchy problem for an elliptic equation

被引：11

作者：

Hao, Dinh Nho

Hien, Pham Minh

Sahli, H.

机构：

[1] Hanoi Inst Math, Hanoi 10307, Vietnam

[2] Free Univ Brussels, Dept Elect & Informat Proc, B-1050 Brussels, Belgium

来源：

INVERSE PROBLEMS | 2007年 / 23卷 / 01期

关键词：

D O I：

10.1088/0266-5611/23/1/024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p is an element of (1, infinity], phi is an element of L-p (R) and epsilon < E be given non-negative constants. In this paper, we prove stability estimates of Holder type for the Cauchy problem [GRAPHIC] subject to the constraint [GRAPHIC] Furthermore, we suggest a marching difference scheme for solving the problem in a stable way. Numerical examples are given which show the efficiency of the method.

引用

页码：421 / 461

页数：41

共 22 条

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[4]

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