Fractional powers of the backward heat operator and Carleman type inequalities
Analysis of PDEs
2025-08-27 v1
Abstract
In this paper we derive the fractional power of the backward heat operator as a high dimensional limit of the fractional Laplacian. As applications, we derive Carleman type inequalities for fractional powers of the backward heat operator.
Keywords
Cite
@article{arxiv.2504.11950,
title = {Fractional powers of the backward heat operator and Carleman type inequalities},
author = {Diana Stan},
journal= {arXiv preprint arXiv:2504.11950},
year = {2025}
}
Comments
16 pages