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A selection criterion of solutions to a system of eikonal equations
-
Gisella Croce
and
Giovanni Pisante
Published/Copyright:
November 18, 2010
Abstract
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.
Keywords.: Eikonal equation; almost everywhere solutions; special functions of bounded variation; direct methods of the calculus of variations
Received: 2010-04-08
Revised: 2010-09-03
Published Online: 2010-11-18
Published in Print: 2011-June
© de Gruyter 2011
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Keywords for this article
Eikonal equation;
almost everywhere solutions;
special functions of bounded variation;
direct methods of the calculus of variations
