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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2006/volume_12/issue_2/w
Subject	eikonal equation minimum time problem Boundary value problems for nonlinear first-order equations Dynamic programming method Viscosity solutions Geometric optics viscosity solutions http://msc2010.org/resources/MSC/2010/35A05 discontinuous coefficients.
Title	Degenerate Eikonal equations with discontinuous refraction index
Date	2006-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2006/volume_12/issue_2/cocv0446/m/web http://hub.abes.fr/edp/periodical/cocv/2006/volume_12/issue_2/cocv0446/m/print
related by	http://hub.abes.fr/edp/periodical/cocv/2006/volume_12/issue_2/cocv0446/authorship/1
Author	Soravia, Pierpaolo
Abstract	We study the Dirichlet boundary value problem for eikonal type equations of ray light propagation in an inhomogeneous medium with discontinuous refraction index. We prove a comparison principle that allows us to obtain existence and uniqueness of a continuous viscosity solution when the Lie algebra generated by the coefficients satisfies a Hörmander type condition. We require the refraction index to be piecewise continuous across Lipschitz hypersurfaces. The results characterize the value function of the generalized minimum time problem with discontinuous running cost.
article type	research-article
publisher identifier	cocv0446
Date Copyrighted	2006-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2006
Rights Holder	EDP Sciences, SMAI
is part of this journal	ESAIM: Control, Optimisation and Calculus of Variations
is primary topic of	http://hub.abes.fr/edp/periodical/cocv/2006/volume_12/issue_2/cocv0446/w/record

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