Series decomposition of a class of special integrals
Analysis of PDEs
2026-05-04 v2
Abstract
In this paper, we propose a new method for calculating integrals for a special class of integrands. As an application, we show how this method can be used to derive optimal pointwise temporal estimates for a class of nonlocal evolution equations. Compared with other methods, our approach can obtain both upper bound and lower bound simultaneously.
Keywords
Cite
@article{arxiv.2512.12700,
title = {Series decomposition of a class of special integrals},
author = {Xiaolei Yang},
journal= {arXiv preprint arXiv:2512.12700},
year = {2026}
}