Wave extension problem for the fractional Laplacian

DOI10.3934/DCDS.2015.35.4905zbMath1336.35249arXiv1410.6051OpenAlexW3105899228MaRDI QIDQ255450

Mikko Kemppainen, José Luis Torrea, Peter Sjögren

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6051

zbMATH Keywords

Bessel functionsDirichlet-to-Neumann maposcillatory integralsSchrödinger group

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Degenerate hyperbolic equations (35L80) Fractional partial differential equations (35R11)

Related Items (2)

Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces ⋮ On weighted mixed-norm Sobolev estimates for some basic parabolic equations

Cites Work

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• Extension problem and fractional operators: semigroups and wave equations
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• An Extension Problem Related to the Fractional Laplacian
• Convolutions with Kernels Having Singularities on a Sphere

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