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

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.