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

作者：Kong Yuedong; Xu Junxiang^*

来源：Mathematical Methods in the Applied Sciences, 2015, 38(14): 2974-2983.

DOI：10.1002/mma.3273

• Hamilton-Jacobi equation
• weak KAM theory
• noncompact manifold
• Neumann boundary condition

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.

• 出版日期2015-9-30
• 单位东南大学