Stability estimates for a class of semi-linear ill-posed problems

被引：11

作者：

Nguyen Huy Tuan ^{[1
]}

机构：

[1] Ton Duc Thang Univ, Div Appl Math, Ho Chi Minh City, Vietnam

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2013年 / 14卷 / 02期

关键词：

Backward problem; Ill-posed problem; Nonlinear parabolic equation; Contraction principle; BACKWARD PARABOLIC PROBLEMS; QUASI-REVERSIBILITY METHOD; APPROXIMATE SOLUTION; CAUCHY-PROBLEMS; ERROR ESTIMATE; HEAT PROBLEM; REGULARIZATION; EQUATIONS; TIME;

D O I：

10.1016/j.nonrwa.2012.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study study a final value problem for a nonlinear parabolic equation with positive self-adjoint unbounded operator coefficients. The problem is ill-posed. The regularized equation is given by a modified quasi-reversibility method. For this regularization solution, the Milder type stability estimate between the regularization solution and the exact solution is obtained. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1203 / 1215

页数：13

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