Inverse source problem related to one-dimensional Saint-Venant equation

被引：1
|
作者：
Takase, Hiroshi [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan
来源：
APPLICABLE ANALYSIS | 2022年 / 101卷 / 01期
关键词：
Carleman estimate; inverse source problem; global Lipschitz stability;
D O I：
10.1080/00036811.2020.1727893
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The one-dimensional Saint-Venant equation describes unsteady water flow in channels and is derived from the one-dimensional Euler equation by imposing several physical assumptions. In this paper, we consider the linearized and simplified equation in the one-dimensional case featuring a mixed derivative term and prove the global Lipschitz stability of the inverse source problem via the global Carleman estimate.
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页码：35 / 47
页数：13
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