Inverse problems for q-analogue of the heat equation
Analysis of PDEs
2022-12-15 v1
Abstract
In this paper we explore the weak solution of a time-dependent inverse source problem and inverse initial problem for -analogue of the heat equation. As an over-determination condition we have used integral type condition on space-variable (in the case of inverse source problem) and final time condition (in the case of inverse initial problem). Series form of considered problems have been obtained via the method of spectral expansions.
Keywords
Cite
@article{arxiv.2212.07239,
title = {Inverse problems for q-analogue of the heat equation},
author = {Erkinjon Karimov and Serikbol Shaimardan},
journal= {arXiv preprint arXiv:2212.07239},
year = {2022}
}