Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations
Analysis of PDEs
2023-06-02 v1
Abstract
We discuss inverse problems of determining the time-dependent source coefficient for a general class of subelliptic heat equations. We show that a single data at an observation point guarantees the existence of a (smooth) solution pair for the inverse problem. Moreover, additional data at the observation point implies an explicit formula for the time-dependent source coefficient. We also explore an inverse problem with nonlocal additional data, which seems a new approach even in the Laplacian case.
Keywords
Cite
@article{arxiv.2306.00786,
title = {Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations},
author = {Mansur I. Ismailov and Tohru Ozawa and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:2306.00786},
year = {2023}
}