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Carleman estimate for the transmission linear Ginzburg-Landau equation and its applications to inverse source problem and observability

Year: 2026

Type: article

Abstract: In this paper, we investigate Carleman estimate and its applications for the linear Ginzburg-Landau equation with the complex discontinuous coefficient. We establish the Carleman estimate for the transmission linear Ginzburg-Landau equation. Furthermore, we provide two applications to inverse source problem and observability based on the established Carleman estimate. The first one is to prove the stability of the inverse source problem. The second one is to prove an observability inequality for the backward transmission linear Ginzburg-Landau equation.

Source: Inverse Problems

DOI: 10.1088/1361-6420/aebcad

Authors: Zhongliu Zhao, Wensheng Zhang

Institutions: Hunan Institute of Science and Technology, Academy of Mathematics and Systems Science

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: Chinese Academy of Sciences

OpenAlex ID: W7225107343

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