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.

引用

页码：35 / 47

页数：13

共 7 条

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