Work

Inverse source problem for the parabolic equation with sparse moving observations

Year: 2026

Type: preprint

Abstract: This paper considers the inverse problem of identifying the source term of parabolic equations from sparse boundary measurements. We used data from moving sensors to locate the unknown source term. This work first proves the uniqueness of the inverse problem under such measurements. Then the movement strategy of the sensor is given, from which the authors build the reconstruction algorithm. Finally, some numerical experiments are performed and the corresponding results are generated, which indicate the effectiveness of the algorithms.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.11157

Authors: Gu, Qiling, Zhang, Wenlong, Zhang, Zhidong

Institutions: Southern University of Science and Technology, Sun Yat-sen University, Guangdong Province Key Laboratory of Computational Science

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G379176106, G8061817210

OpenAlex ID: W7154288783

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