Partial Differential Equations and Applications

The topics of this school are related to nonlinear analysis and asymptotic analysis of partial differential equations arising from geometry and physics. They include: KAM theory of infinite dimensional dynamic system and applications in PDE, critical blow-up of nonlinear Schrodinger equation, integral system and variational methods in differential geometry , semi-classical analysis and theory of resonances of Schrodinger equation. The objective of these mini-courses at the level of French DEA is to introduce moden tools and present recent progesses in these fields.