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Weak KAM theorem for Hamilton‐Jacobi equations with Neumann boundary conditions on noncompact manifolds
Author(s) -
Kong Yuedong,
Xu Junxiang
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3273
Subject(s) - mathematics , neumann boundary condition , hamilton–jacobi equation , bounded function , homogeneous , generalization , mathematical analysis , boundary value problem , von neumann architecture , boundary (topology) , pure mathematics , manifold (fluid mechanics) , combinatorics , mechanical engineering , engineering
In this paper, we consider Hamilton–Jacobi equations with homogeneous Neumann boundary condition. We establish some results on noncompact manifold with homogeneous Neumann boundary conditions in view of weak Kolmogorov‐Arnold‐Moser (KAM) theory, which is a generalization of the results obtained by Fathi under the non‐bounded condition. Copyright © 2014 John Wiley & Sons, Ltd.