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.
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页码：421 / 461
页数：41
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