A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians

Handle URI:
http://hdl.handle.net/10754/346767
Title:
A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians
Authors:
Cagnetti, Filippo; Gomes, Diogo A. ( 0000-0002-3129-3956 ) ; Mitake, Hiroyoshi; Tran, Hung V.
Abstract:
We investigate large-time asymptotics for viscous Hamilton-Jacobi equations with possibly degenerate diffusion terms. We establish new results on the convergence, which are the first general ones concerning equations which are neither uniformly parabolic nor first order. Our method is based on the nonlinear adjoint method and the derivation of new estimates on long time averaging effects. It also extends to the case of weakly coupled systems.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians 2015, 32 (1):183 Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Publisher:
Elsevier BV
Journal:
Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Issue Date:
Jan-2015
DOI:
10.1016/j.anihpc.2013.10.005
ARXIV:
arXiv:1212.4694
Type:
Article
ISSN:
02941449
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0294144913001303; http://arxiv.org/abs/1212.4694
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorCagnetti, Filippoen
dc.contributor.authorGomes, Diogo A.en
dc.contributor.authorMitake, Hiroyoshien
dc.contributor.authorTran, Hung V.en
dc.date.accessioned2015-03-17T13:25:13Zen
dc.date.available2015-03-17T13:25:13Zen
dc.date.issued2015-01en
dc.identifier.citationA new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians 2015, 32 (1):183 Annales de l'Institut Henri Poincare (C) Non Linear Analysisen
dc.identifier.issn02941449en
dc.identifier.doi10.1016/j.anihpc.2013.10.005en
dc.identifier.urihttp://hdl.handle.net/10754/346767en
dc.description.abstractWe investigate large-time asymptotics for viscous Hamilton-Jacobi equations with possibly degenerate diffusion terms. We establish new results on the convergence, which are the first general ones concerning equations which are neither uniformly parabolic nor first order. Our method is based on the nonlinear adjoint method and the derivation of new estimates on long time averaging effects. It also extends to the case of weakly coupled systems.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0294144913001303en
dc.relation.urlhttp://arxiv.org/abs/1212.4694en
dc.rightsArchived with thanks to Annales de l'Institut Henri Poincare (C) Non Linear Analysis. Copyright © 2013 Elsevier Masson SAS. All rights reserved.en
dc.titleA new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltoniansen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalAnnales de l'Institut Henri Poincare (C) Non Linear Analysisen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionCenter for Mathematical Analysis, Geometry, and Dynamical Systems, Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugalen
dc.contributor.institutionDepartment of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka 814-0180, Japanen
dc.contributor.institutionDepartment of Mathematics, The University of Chicago, 5734 S. University Avenue, Chicago, IL 60637, USAen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
dc.identifier.arxividarXiv:1212.4694en
kaust.authorGomes, Diogo A.en
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