Diogo A. Gomes
Regularity Theory for Hamilton-Jacobi Equations
(280K, pdf)

ABSTRACT.  The objective of this paper is to 
discuss the regularity of viscosity solutions of time independent 
Hamilton-Jacobi Equations. 
We prove analogs of the 
KAM theorem, show stability of the viscosity solutions and 
 Mather sets 
under small perturbations of the Hamiltonian.