A selection criterion of solutions to a system of eikonal equations

作者：Croce Gisella^*; Pisante Giovanni

来源：Advances in Calculus of Variations, 2011, 4(3): 309-338.

DOI：10.1515/ACV.2011.003

• Eikonal equation
• almost everywhere solutions
• special functions of bounded variation
• direct methods of the calculus of variations

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.

• 出版日期2011-6