A selection criterion of solutions to a system of eikonal equations
In this article we consider a system of eikonal equations with a Dirichlet boundary condition. We propose a variational method to select the class of solutions which minimize the discontinuity set of the gradient.
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Veröffentlicht in: | Advances in Calculus of Variations 2011-06, Vol.4 (3), p.309-338 |
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creator | Croce, Gisella Pisante, Giovanni |
description | In this article we consider a system of eikonal equations with a Dirichlet boundary condition. We propose a variational method to select the class of solutions which minimize the discontinuity set of the gradient. |
doi_str_mv | 10.1515/acv.2011.003 |
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ispartof | Advances in Calculus of Variations, 2011-06, Vol.4 (3), p.309-338 |
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language | eng |
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subjects | almost everywhere solutions direct methods of the calculus of variations Eikonal equation Mathematics special functions of bounded variation |
title | A selection criterion of solutions to a system of eikonal equations |
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