Weak Solutions for Dislocation Type Equations

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dc.creatorLey, Olivier
dc.date2008-02-07
dc.date.accessioned2026-07-07T12:40:46Z
dc.date.available2026-07-07T12:40:46Z
dc.descriptionWe describe recent results obtained by G. Barles, P. Cardaliaguet, R. Monneau and the author recently. They are concerned with nonlocal Eikonal equations arising in the study of the dynamics of dislocation lines in crystals. These equations are nonlocal but also non monotone. We use a notion of weak solution to provide solutions for all time. Then, we discuss the link between these weak solutions and the classical viscosity solutions, and state some uniqueness results in particular cases. A counter-example to uniqueness is given.
dc.identifierhttps://arxiv.org/abs/0802.0931
dc.identifierhttp://arxiv.org/abs/0802.0931
dc.identifierInternational Conference for the 25th Anniversary of Viscosity Solutions, Tokyo : Japon (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219548
dc.subjectAnalysis of PDEs
dc.subject49L25, 35F25, 35A05, 35D05, 35B50, 45G10
dc.titleWeak Solutions for Dislocation Type Equations
dc.typetext

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