181 research outputs found
An optimal mass transport approach for limits of eigenvalue problems for the fractional -Laplacian
We find interpretation using optimal mass transport theory for eigenvalue
problems obtained as limits of the eigenvalue problems for the fractional
Laplacian operators as . We deal both with Dirichlet and
Neumann boundary conditions.Comment: 20 page
Space-weighted seismic attenuation mapping of the aseismic source of Campi Flegrei 1983-84 unrest
Peer reviewedPublisher PD
Pasquale del Pezzo, Duke of Caianello, Neapolitan mathematician
This article is dedicated to a reconstruction of some events and achievements, both personal and scientific, in the life of the Neapolitan mathematician Pasquale del Pezzo, Duke of Caianello
Interior penalty discontinuous Galerkin FEM for the -Laplacian
In this paper we construct an "Interior Penalty" Discontinuous Galerkin
method to approximate the minimizer of a variational problem related to the
Laplacian. The function is log H\"{o}lder
continuous and . We prove that the minimizers of the
discrete functional converge to the solution. We also make some numerical
experiments in dimension one to compare this method with the Conforming
Galerkin Method, in the case where is close to one. This example is
motivated by its applications to image processing.Comment: 26 pages, 2 figure
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