NEW ESTIMATES FOR EVANS%26apos; VARIATIONAL APPROACH TO WEAK KAM THEORY

作者：Bernardi Olga^*; Cardin Franco; Guzzo Massimiliano

来源：Communications in Contemporary Mathematics, 2013, 15(2): 1250055.

DOI：10.1142/S0219199712500551

• Weak KAM theory
• Hamilton-Jacobi equation
• approximate variational principles
• perturbation theory

We consider a recent approximate variational principle for weak KAM theory proposed by Evans. As in the case of classical integrability, for one-dimensional mechanical Hamiltonian systems all the computations can be carried out explicitly. In this setting, we illustrate the geometric content of the theory and prove new lower bounds for the estimates related to its dynamic interpretation. These estimates also extend to the case of n degrees of freedom.

• 出版日期2013-4