An extension problem of higher order operators and operators of logarithmic type via renormalization
Analysis of PDEs
2025-02-19 v2
Abstract
We introduce a method of obtaining a higher order extension problem, \'a la Caffarelli-Silvestre, utilizing ideas from renormalization. Moreover, we give an alternative perspective of the recently developed extension problem for the logarithmic laplacian developed by Chen, Hauer and Weth (2023) [arXiv:2312.15689].
Keywords
Cite
@article{arxiv.2502.10747,
title = {An extension problem of higher order operators and operators of logarithmic type via renormalization},
author = {David Lee},
journal= {arXiv preprint arXiv:2502.10747},
year = {2025}
}