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arXiv · 2411.00687

Pointwise estimates of the fundamental solution to the fractional Kolmogorov equation

Florian Grube
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Abstract

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.

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Florian Grube. 2024-11-01. Pointwise estimates of the fundamental solution to the fractional Kolmogorov equation. https://arxiv.org/abs/2411.00687

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