On the inverse problem for one-dimensional Burgers’ equation from the interior observation

被引：0
|
作者：
Nguyen Thi Ngoc Oanh
机构：
[1] Thai Nguyen University of Sciences,
来源：
Journal of Elliptic and Parabolic Equations | 2023年 / 9卷
关键词：
Burgers’ equation; Variational method; Interior observation; Necessary optimality condition; Conjugate gradient method; 35K58; 49N45; 65N21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we study the inverse problem of finding the initial condition for one-dimensional Burgers’ equation from the interior observation. Using the variational method, the inverse problem is reformulated as a optimal control problem. The necessary optimality condition will be calculated. We also use the conjugate gradient method to find the minimum of objective functional.
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页码：1329 / 1339
页数：10
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