热方程带分数拉普拉斯算子的反演系数问题
偏微分方程分析
2024-05-24 v1
摘要
本文研究与确定分数热方程中时变系数和未知源函数相关的反演问题。我们的ethods show that having just one set of data at an observation point ensures the existence of a weak solution for the inverse problem. Furthermore, if there is an additional datum at the observation point, it leads to a specific formula for the time-dependent source coefficient. Moreover, we investigate inverse problems involving non-local data and recovering the space-dependent source function of the fractional heat equation.
引用
@article{arxiv.2405.13338,
title = {Inverse coefficient problems for the heat equation with fractional Laplacian},
author = {Azizbek Mamanazarov and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:2405.13338},
year = {2024}
}