A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians
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ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Date
2015-01Preprint Posting Date
2012-12-19Permanent link to this record
http://hdl.handle.net/10754/346767
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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 AnalysisPublisher
Elsevier BVarXiv
1212.4694Additional Links
http://linkinghub.elsevier.com/retrieve/pii/S0294144913001303http://arxiv.org/abs/1212.4694
ae974a485f413a2113503eed53cd6c53
10.1016/j.anihpc.2013.10.005