A Riesz-Feller space-fractional backward diffusion problem with a time-dependent coefficient: regularization and error estimates

被引：5

作者：

Nguyen Huy Tuan ^{[1
]}

Dang Duc Trong ^{[1
]}

Dinh Nguyen Duy Hai ^{[1
,2
]}

Duong Dang Xuan Thanh ^{[3
]}

机构：

[1] Vietnam Natl Univ, Univ Sci, Dept Math, 227 Nguyen Van Cu St,Dist 5, Ho Chi Minh City, Vietnam

[2] Ho Chi Minh City Univ Transport, Fac Basic Sci, 2,D3 St,Ward 25, Ho Chi Minh City, Vietnam

[3] Quantitat & Computat Finance Lab, Ho Chi Minh, Vietnam

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 11期

关键词：

space-fractional backward diffusion problem; ill-posed problem; regularization; error estimate; HILBERT SCALES;

D O I：

10.1002/mma.4284

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a Riesz-Feller space-fractional backward diffusion problem with a time-dependent coefficient u(x,t)+f(x,t),(x,t)Rx(0,T). We show that this problem is ill-posed; therefore, we propose a convolution regularization method to solve it. New error estimates for the regularized solution are given under a priori and a posteriori parameter choice rules, respectively. Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：4040 / 4064

页数：25

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