## Lecture Notes

**Hyperbolic conservation laws: an illustrated tutorial.**

Notes for a summer course, Cetraro 2009 (81 pages).

**Viscosity solutions of Hamilton-Jacobi equations and optimal control problems**

An illustrated tutorial. Original version: Trondheim, NTNU 2001. Revised: Shanghai Jiao Tong University, 2011 (56 pages).

**Noncooperative differential games.**

Notes for a summer course, Padova 2010 (81 pages).

**Lecture Notes on the Center Manifold Theorem**

S.I.S.S.A., 2003 (16 pages).

**Notes on the Boltzmann equation**

Lecture notes for a summer course, S.I.S.S.A. 2005 (28 pages).

**BV solutions to hyperbolic system by vanishing viscosity**

Lecture notes for a C.I.M.E. course, 2003 (77 pages).

**Symmetries and blow up patterns**

A short tutorial, S.I.S.S.A. 1999 (17 pages).

## Slides of tutorials

**A tutorial on hyperbolic systems of conservation laws in one space dimension**

I - Basic concepts

II - The Cauchy problem

III - Uniqueness, continuous dependence, and viscous approximations

**Control Theory: a brief tutorial**

**An introduction to noncooperative games**

**Conservation law models for traffic flow**

**Dynamic blocking problems**

**Controlling Lagrangian systems by active constraints**