Stability results for backward time-fractional parabolic equations

被引：27

作者：

Dinh Nho Hao ^{[1
]}

Liu, Jijun ^{[2
]}

Nguyen Van Duc ^{[3
]}

Nguyen Van Thang ^{[3
]}

机构：

[1] VAST, Hanoi Inst Math, 18 Hoang Quoc Viet Rd, Hanoi 10307, Vietnam

[2] Southeast Univ, ST Yau Ctr, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[3] Vinh Univ, Dept Math, Vinh City, Vietnam

来源：

INVERSE PROBLEMS | 2019年 / 35卷 / 12期

关键词：

backward time-fractional parabolic equations; stability estimates; non-local boundary value problem method; BOUNDARY VALUE METHOD; REGULARIZATION;

D O I：

10.1088/1361-6420/ab45d3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal order stability estimates of Hlder type for the backward Caputo time-fractional abstract parabolic equations are obtained. This ill-posed problem is regularized by a non-local boundary value problem method with a priori and a posteriori parameter choice rules which guarantee error estimates of Hlder type. Numerical implementations are presented to show the validity of the proposed scheme.

引用

页数：25

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