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

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    Type
    Article
    Authors
    Cagnetti, Filippo
    Gomes, Diogo A. cc
    Mitake, Hiroyoshi
    Tran, Hung V.
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2015-01
    Preprint Posting Date
    2012-12-19
    Permanent link to this record
    http://hdl.handle.net/10754/346767
    
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    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.
    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 Poincaré C, Analyse non linéaire
    DOI
    10.1016/j.anihpc.2013.10.005
    arXiv
    1212.4694
    Additional Links
    http://linkinghub.elsevier.com/retrieve/pii/S0294144913001303
    http://arxiv.org/abs/1212.4694
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.anihpc.2013.10.005
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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