Weak KAM theorem for Hamilton‐Jacobi equations with Neumann boundary conditions on noncompact manifolds. (28th November 2014)

• Record Type: Journal Article
• Authors: Kong, Yuedong; Xu, Junxiang
• Is Part Of: Mathematical methods in the applied sciences. Volume 38:Number 14(2015:Sep. 30)
• Page Start: 2974
• Page End: 2983
• Publication Date: 2014-11-28
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3273
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma3273-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma3273-para-0001">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 &amp; Sons, Ltd.</p> </abstract>