Pointwise estimates of the fundamental solution to the fractional Kolmogorov equation

Autor:	Grube, Florian
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35K08 35K65 60G52 35C05 47G20 35H10 82C40
Druh dokumentu:	Working Paper
Popis:	We prove sharp two-sided estimates of the fundamental solution to the fractional Kolmogorov equation in $\mathbb{R}\times \mathbb{R}$ using Fourier methods. Additionally, we provide an explicit form of the fundamental solution in case of the square root of the Laplacian. Comment: 42 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.00687 Zobrazit plný text záznamu View this record from Arxiv