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.

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Volume38, Issue14

30 September 2015

Pages 2974-2983

Weak KAM theorem for Hamilton-Jacobi equations with Neumann boundary conditions on noncompact manifolds

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Weak KAM theorem for Hamilton-Jacobi equations with Neumann boundary conditions on noncompact manifolds

Abstract

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