This book is a result of several courses given at the CIMPA School, which was held in Damascus in May 2004. The aim of these courses was to present various topics of current research in analysis where the underlying problems come from physics. Thus, one finds courses on extended dynamical systems (P. Collet), the semi-classical analysis of Schrödinger operators in connection with superconductivity (B. Helffer), free-boundary problems (R. Monneau), and partial functional differential equations (M. Adimy and K. Ezzinbi).

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in differential equations.

Table of Contents

• P. Collet -- Introduction to the theory of extended dynamical systems
• B. Helffer -- Introduction to semi-classical methods for the Schrödinger operator with magnetic field
• R. Monneau -- Méthodes géométriques pour les problèmes à frontières libres
• M. Adimy and K. Ezzinbi -- Existence, regularity, stability and boundedness for some partial functional differential equations