Heat Source Determining Inverse Problem for non-local in time equation
Analysis of PDEs
2023-06-09 v2
Abstract
In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well-posedness of this inverse problem by reducing the problem to an operator equation for the source function.
Keywords
Cite
@article{arxiv.2306.03910,
title = {Heat Source Determining Inverse Problem for non-local in time equation},
author = {Daurenbek Serikbaev and Michael Ruzhansky and Niyaz Tokmagambetov},
journal= {arXiv preprint arXiv:2306.03910},
year = {2023}
}
Comments
In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. To prove the well-posedness of this inverse problem, we use widely the results of the direct problem part of the paper arXiv:2306.03545