HCDTE Lecture Notes Part I Nonlinear Hyperbolic PDEs, Dispersive and Transport Equations

Description

This is the first of two volumes containing the lecture notes of some of the courses given during the intensive trimester HCDTE, Nonlinear HyperboliC PDEs, Dispersive and Transport Equations: analysis and control, held at SISSA, Trieste (Italy) from May 16th to July 22nd, 2011, in the framework of the activities funded by the ERC Starting Grant "ConLaws", Hyperbolic Systems of Conservation Laws: singular limits, properties of solutions and control problems1. The lectures covered a number of different topics within the fields of hyperbolic equations, fluid dynamic, dispersive and transport equations, measure theory and control and they were primarily intended for PhD students and young researchers at the beginning of their career. With the aim of making possible the access to the contents of the courses to a wider public, we proposed to the lecturers to re-organize the material in a self-contained manuscript and we received many earnest acceptances, that collected together form these texts.