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HAL Id: inria-00072081 https://hal.inria.fr/inria-00072081 Submitted on 23 May 2006 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Signed distance functions and viscosity solutions of discontinuous Hamilton-Jacobi Equations Jean-François Aujol, Gilles Aubert To cite this version: Jean-François Aujol, Gilles Aubert. Signed distance functions and viscosity solutions of discontinuous Hamilton-Jacobi Equations. RR-4507, INRIA. 2002. <inria-00072081>

Signed distance functions and viscosity solutions of discontinuous

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HAL Id: inria-00072081https://hal.inria.fr/inria-00072081

Submitted on 23 May 2006

HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come fromteaching and research institutions in France orabroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, estdestinée au dépôt et à la diffusion de documentsscientifiques de niveau recherche, publiés ou non,émanant des établissements d’enseignement et derecherche français ou étrangers, des laboratoirespublics ou privés.

Signed distance functions and viscosity solutions ofdiscontinuous Hamilton-Jacobi Equations

Jean-François Aujol, Gilles Aubert

To cite this version:Jean-François Aujol, Gilles Aubert. Signed distance functions and viscosity solutions of discontinuousHamilton-Jacobi Equations. RR-4507, INRIA. 2002. <inria-00072081>

ISS

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ap por t de r ech er ch e

THÈME 3

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Signed distance functions and viscosity solutions ofdiscontinuous Hamilton-Jacobi Equations

Jean-François Aujol — Gilles Aubert

N° 4507

Juillet 2002

Unité de recherche INRIA Sophia Antipolis2004, route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France)

Téléphone : +33 4 92 38 77 77 — Télécopie : +33 4 92 38 77 65

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Unité de recherche INRIA Sophia Antipolis2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex (France)

Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - Campus scientifique615, rue du Jardin Botanique - BP 101 - 54602 Villers-lès-Nancy Cedex (France)

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France)Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330 Montbonnot-St-Martin (France)

Unité de recherche INRIA Rocquencourt : Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex (France)

ÉditeurINRIA - Domaine de Voluceau - Rocquencourt, BP 105 - 78153 Le Chesnay Cedex (France)��������� ���� ���������� ��� ���

ISSN 0249-6399