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dc.contributor.authorBarles, Guy
HAL ID: 1242
dc.contributor.authorPerthame, Benoît
HAL ID: 739446
ORCID: 0000-0002-7091-1200
dc.date.accessioned2014-10-30T13:47:43Z
dc.date.available2014-10-30T13:47:43Z
dc.date.issued1990
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14099
dc.language.isoenen
dc.subjectPDEen
dc.subjectHamilton-Jacobi equationsen
dc.subject.ddc515en
dc.titleComparison principle for dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equationsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenUnder a nondegeneracy condition on the boundary, we prove a comparison principle for discontinuous viscosity sub- and supersolutions of the generalized Dirichlet boundary-value problem for a first-order Hamilton-Jacobi equation ⎧⎩⎨⎪⎪H(x,u,Du)=0inΩ,Max(H(x,u,Du);u−φ)⩾0on∂Ω,Min(H(x,u,Du);u−φ)⩽0on∂Ω. For optimal control problems, we interpret this nondegeneracy as a condition on the controlled vector fields. Finally, we use this to extend classical singular perturbation results to degenerated elliptic equations.en
dc.relation.isversionofjnlnameApplied Mathematics and Optimization
dc.relation.isversionofjnlvol21en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate1990
dc.relation.isversionofjnlpages21-44en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF01445155en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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