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.
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页数：25
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