This volume contains a complete and self-contained treatment of Hamilton-Jacobi equations. The author gives a new presentation of classical methods and of the r

The theory of scalar first order nonlinear partial differential equations has been enjoying a rapid development in the last few years. This development occurred

These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The

At the classical level, when one considers boundary value problems for nonlinear scalar first order partial differential equations there are parts of the bounda