Weak KAM theorem for Hamilton‐Jacobi equations with Neumann boundary conditions on noncompact manifolds |
| |
| Authors: | Yuedong Kong Junxiang Xu |
| |
| Affiliation: | Department of Mathematics, Southeast University, Nanjing 210096, China |
| |
| Abstract: | 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. |
| |
| Keywords: | Hamilton– Jacobi equation weak KAM theory noncompact manifold Neumann boundary condition |
|
|
