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Lecture notes on Mather's theory for Lagrangian systems
Lecture notes Mather's theory Lagrangian systems
2010/11/9
These are introductory lecture notes on Mather's theory for Tonelli Lagrangian and Hamiltonian systems. They are based on a series of lectures given by the author at Universit\`a degli Studi di Napoli...
Regular hyperbolicity, dominant energy condition and causality for Lagrangian theory of maps
Regular hyperbolicity dominant energy condition Lagrangian theory
2010/11/19
The goal of the present paper is three-fold. First is to clarify the connection between the dominant energy condition and hyperbolicity properties of Lagrangian field theories. Second is to provide fu...