A pointwise inequality for fractional laplacians
Copyright policy )A pointwise inequality for fractional laplacians
The fractional laplacian is an operator appearing in several evolution models where diffusion coming from a L��vy process is present but also in the analysis of fluid interphases. We provide an extension of a pointwise inequality that plays a r��le in their study. We begin recalling two scenarios where it has been used. After stating the results, for fractional Laplace-Beltrami and Dirichlet-Neumann operators, we provide an sketch of their proofs, unravelling the underlying principle to such inequalities.
Laplace-Beltrami operators, Matemáticas, quasi-geostrophic equation, Hausdorff-Bernstein-Widder theorem, Weyl's law, Fractional partial differential equations, A priori estimates in context of PDEs, Quasi-geostrophic equation, Mathematics - Analysis of PDEs, Bochner subordination principle, Hele-Shaw flow, pointwise inequality, FOS: Mathematics, Analysis of PDEs (math.AP)
Laplace-Beltrami operators, Matemáticas, quasi-geostrophic equation, Hausdorff-Bernstein-Widder theorem, Weyl's law, Fractional partial differential equations, A priori estimates in context of PDEs, Quasi-geostrophic equation, Mathematics - Analysis of PDEs, Bochner subordination principle, Hele-Shaw flow, pointwise inequality, FOS: Mathematics, Analysis of PDEs (math.AP)
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