ON A BACKWARD PROBLEM FOR TWO-DIMENSIONAL TIME FRACTIONAL WAVE EQUATION WITH DISCRETE RANDOM DATA

被引：8

作者：

Nguyen Huy Tuan ^{[1
,2
]}

Tran Ngoc Thach ^{[3
]}

Zhou, Yong ^{[4
,5
]}

机构：

[1] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam

[2] Univ Sci VNU HCM, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

[3] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

[4] Macau Univ Sci & Technol, Fac Informat Technol, Macau 999078, Peoples R China

[5] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2020年 / 9卷 / 02期

关键词：

Backward problem; ill-posed; discrete random data; time fractional wave equation; truncation method; DIFFERENTIAL-EQUATIONS;

D O I：

10.3934/eect.2020024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a backward problem for a two-dimensional time fractional wave equation with discrete noise. In general, this problem is ill-posed, therefore the trigonometric method in nonparametric regression associated with Fourier truncation method is proposed to solve the problem. We also give some error estimates and convergence rates between the regularized solution and the sought solution under some assumptions.

引用

页码：561 / 579

页数：19

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