An extension problem for higher order operators and operators of logarithmic type via renormalization
Abstract
We introduce a method of obtaining a higher order extension problem, á 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].
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Geometric Analysis and Curvature Flows
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Volume
- 559
- Issue
- 2
- Pages
- 130510–130510
- Publication date
- 12 February 2026
- Language
- EN