On the Green function of the killed fractional Laplacian on the periodic domain

DOI10.1515/fca-2021-0069zbMath1498.26023arXiv2109.01837OpenAlexW3196406927MaRDI QIDQ2059236

Thomas Simon

Publication date: 13 December 2021

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.01837

zbMATH Keywords

Green functioncompletely monotone functionfractional LaplacianJacobi triple product

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Green's functions for ordinary differential equations (34B27) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

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Cites Work

• Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
• Green's function for the fractional KdV equation on the periodic domain via Mittag-Leffler function
• Mittag-Leffler Functions, Related Topics and Applications
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