Email this article Fundamental Solution of the Fractional Diffusion Equation with a Singular Drift*
- Authors: Jakubowski T.1
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Affiliations:
- Faculty of Pure and Applied Mathematics, Wroclaw University of Technology
- Issue: Vol 218, No 2 (2016)
- Pages: 137-153
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238181
- DOI: https://doi.org/10.1007/s10958-016-3016-6
- ID: 238181
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Abstract
We prove pointwise upper estimates of a fundamental solution of a linear evolution equation with fractional Laplacian and with a singular drift term. Such a result has already been obtained in [Maekawa and Miura, Journal of Functional Analysis 264 (2013) 2245–2268] by generalizing the classical ideas of Carlen, Kusuoka, and Stroock. Here, we propose a different and direct method to show such type of estimates, which appears also to be more elementary.
About the authors
T. Jakubowski
Faculty of Pure and Applied Mathematics, Wroclaw University of Technology
Author for correspondence.
Email: Tomasz.Jakubowski@pwr.edu.pl
Poland, Wroclaw
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