Integral representation for fractional Laplace-Beltrami operators

DOI10.1016/j.aim.2018.01.014zbMath1384.53016arXiv1704.06126OpenAlexW2963508595MaRDI QIDQ1705468

Antonio Córdoba, Diego Alonso-Orán, Ángel D. Martínez

Publication date: 15 March 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06126

zbMATH Keywords

Bochner subordination principlefractional Laplace-Beltrami operatorHadamard's parametrixheat kernel on manifolds

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Methods of local Riemannian geometry (53B21) Fractional partial differential equations (35R11)

Related Items

Quasigeostrophic equations for fractional powers of infinitesimal generators, Non-local equations and optimal Sobolev inequalities on compact manifolds, The fractional porous medium equation on manifolds with conical singularities II, Time Analyticity for Nonlocal Parabolic Equations, Pointwise monotonicity of heat kernels, Global well-posedness of critical surface quasigeostrophic equation on the sphere, Continuity of weak solutions of the critical surface quasigeostrophic equation on \(\mathbb{S}^2\), Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel, Fractional diffusion maps, Harnack inequality for nonlocal operators on manifolds with nonnegative curvature

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