All classes are scheduled to Mondays between 13.15--15.00, at the Department Of Mathematics at KTH, room 3733.

Time	Place	Topic	Source
Monday 04/02	3733	Introduction, basics in PDE, FBP, convergences in L^p	CD:  1, 2
Monday 11/02	3733	Sobolev spaces, W^1,p, H^1, Inequalities, Green's formula, Trace theorem, Compactness	CD:     3
Monday 18/02	3733	Elliptic PDE, variational methods, nonlinear equations, viscosity methods	CD 4, additional references
Monday 25/02	3733	Homogenization of elliptic equations, periodic media	CD  5, 6
Monday 03/03	3733	Multiple-scale methods, Oscillating test functions, peridic media	CD 7, 8.1
Monday 17/03	3733	Gamma-convergence, Non-periodic media,	CD 13, additional references
Monday 24/03	3733	Nonlinear Homogenization	Article 1
Monday 07/04	3733	Free boundaries, Homogenization of obstacle problem	Article 2
Monday 05/05	3733	Student presentation	Articles
Monday 02/05	3733	Student presentation	Articles
Monday  12/05	3733	Student presentation	Articles
Monday  19/05	3733	Student presentation	Articles
Monday  26/05	3733	Student presentation	Articles

 

CD:     An introduction to homogenization, by Doina Cioranescu & Patrizia Donato;

Article 1:    A Note on Nonlinear Homogenization,   L. A. CAFFARELLI
Article 2:    Random Homogenization of an Obstacle Problem,  L. A. Caffarelli∗ and A. Mellet†