- Teacher: Grigory Mikhalkin
Objectifs
Setting up geometric framework for Partial Differential Equations. Introduction to symplectic and contact
geometries and wave front propagation in various settings.
Contenu
Partial differential equations as subspaces of the jet space. Contact and symplectic structures. Characteristic
foliations. Eikonal equation and wave front propagation. Caustics. Huygens principle. PDEs of higher order.
Références
[1] Vladimir I. Arnold, Lectures on Partial Differential Equations, Springer 2004.
Cours donné en anglais