Venue: IIT Madras, Chennai
Dates: 3 Jun 2019 to 15 Jun 2019
|Name:||Mythily Ramaswamy||T V Anoop|
|Department of Mathematics
mythily at tifrbng.res.in
|anoop at iitm.ac.in|
This AIS aims to introduce the geometric measure theory and some application to PDE. In the first week we recall some topics from the classical measure theory that are required for the subsequent week. Parallelly we introduce the Sobolev spaces and some results on embeddings. In the second week, topics like Hausdorff measure, isodiamtric inequalities, Area and Co-area formula will be introduced. Along with this, the theory of weak solutions for elliptic pdes will be taught.