Helmholtz solutions for the fractional Laplacian and other related operators

DOI10.1142/S021919972250016XWikidataQ114072646 ScholiaQ114072646MaRDI QIDQ5878026

Wei, Juncheng, Vincent Guan, Mathav Kishore Murugan

Publication date: 17 February 2023

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.00252

zbMATH Keywords

regularity of solutionsfractional Helmholtz equationCaffarelli-Silvestre extension

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11) Entire solutions to PDEs (35B08)

Related Items (2)

Localization for general Helmholtz ⋮ On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order

Cites Work

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• Extension technique for complete Bernstein functions of the Laplace operator
• Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
• Uniqueness of Radial Solutions for the Fractional Laplacian
• The local regularity of solutions of degenerate elliptic equations
• An Extension Problem Related to the Fractional Laplacian
• Weighted Norm Inequalities for the Hardy Maximal Function

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