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 50 条

[41] Stability and regularization of a discrete approximation to the Cauchy problem for Laplace's equation
Reinhardt, HJ
Han, HD
Hào, DN
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1999, 36 (03) : 890 - 905
[42] A Fourier truncated regularization method for a Cauchy problem of a semi-linear elliptic equation
Zhang, Hongwu
Wei, Ting
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2014, 22 (02): : 143 - 168
[43] Spectral stability criterion and the Cauchy problem for the Hill equation at parametric resonance
Kurin, A. F.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2009, 49 (03) : 482 - 495
[44] Asymptotic Stability For Cauchy Problem Of A Plate Equation With Distributed Delay Term
Meghnafi, Mustapha
Ferhat, Mohamed
APPLIED MATHEMATICS E-NOTES, 2018, 18 : 227 - 237
[45] A mollification regularization method for the Cauchy problem of an elliptic equation in a multi-dimensional case
Cheng, Hao
Feng, Xiao-Li
Fu, Chu-Li
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2010, 18 (07) : 971 - 982
[46] Spectral stability criterion and the Cauchy problem for the Hill equation at parametric resonance
A. F. Kurin
Computational Mathematics and Mathematical Physics, 2009, 49 : 482 - 495
[47] INCREASING STABILITY FOR THE INVERSE PROBLEM OF THE SCHRODINGER EQUATION WITH THE PARTIAL CAUCHY DATA
Liang, Li
INVERSE PROBLEMS AND IMAGING, 2015, 9 (02) : 469 - 478
[48] On Structural Stability of Characteristic Nets and the Cauchy Problem for a TricomiCibrario Type Equation
Davydov, A. A.
Kasten, Yu. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2019, 304 (01) : 146 - 152
[49] The Cauchy problem for the Novikov equation
Yan, Wei
Li, Yongsheng
Zhang, Yimin
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2013, 20 (03): : 1157 - 1169
[50] CAUCHY PROBLEM FOR THE KUZNETSOV EQUATION
Dekkers, Adrien
Rozanova-Pierrat, Anna
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (01) : 277 - 307

← 1 2 3 4 5 →