| Abstract: |
| It is an important problem to decide how regular is dependence of the weak KAM solutions on the cohomology classes. In this talk, we will explain a work in which we establish 1/3-Holder regularity dependence of the weak KAM solutions on an external parameter if the configuration space is the two-torus. We will explain how this is applied to our work on the problem of Arnold diffusion. |
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