Global Existence Results and Uniqueness for Dislocation Equations
dc.contributor.author | Barles, Guy
HAL ID: 1242 | |
dc.contributor.author | Cardaliaguet, Pierre | |
dc.contributor.author | Ley, Olivier
HAL ID: 2442 | |
dc.contributor.author | Monneau, Régis | |
dc.date.accessioned | 2011-09-06T15:48:17Z | |
dc.date.available | 2011-09-06T15:48:17Z | |
dc.date.issued | 2008 | |
dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/6931 | |
dc.language.iso | en | en |
dc.subject | nonlocal Hamilton–Jacobi equations | en |
dc.subject | dislocation dynamics | en |
dc.subject | nonlocal front propagation | en |
dc.subject | level-set approach | en |
dc.subject | geometrical properties | en |
dc.subject | lower-bound gradient estimate | en |
dc.subject | viscosity solutions | en |
dc.subject | eikonal equation | en |
dc.subject | L1-dependence in time | en |
dc.subject.ddc | 515 | en |
dc.title | Global Existence Results and Uniqueness for Dislocation Equations | en |
dc.type | Article accepté pour publication ou publié | |
dc.description.abstracten | We are interested in nonlocal eikonal equations arising in the study of the dynamics of dislocation lines in crystals. For these nonlocal but also nonmonotone equations, only the existence and uniqueness of Lipschitz and local-in-time solutions were available in some particular cases. In this paper, we propose a definition of weak solutions for which we are able to prove the existence for all time. Then we discuss the uniqueness of such solutions in several situations, both in the monotone and the nonmonotone case. | en |
dc.relation.isversionofjnlname | SIAM Journal on Mathematical Analysis | |
dc.relation.isversionofjnlvol | 40 | en |
dc.relation.isversionofjnlissue | 1 | en |
dc.relation.isversionofjnldate | 2008 | |
dc.relation.isversionofjnlpages | 44-69 | en |
dc.relation.isversionofdoi | http://dx.doi.org/10.1137/070682083 | en |
dc.identifier.urlsite | http://hal.archives-ouvertes.fr/hal-00129352/fr/ | en |
dc.description.sponsorshipprivate | oui | en |
dc.relation.isversionofjnlpublisher | SIAM | en |
dc.subject.ddclabel | Analyse | en |
Files in this item
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |