Quasiconformal mappings and elliptic PDE's, spring 2013
Quasiconformal mappings and elliptic PDE's, spring 2013
Lecturer
Note:
Lectures this week: On Monday Feb. 25., on Tuesday Feb. 26. and on Wednesday Feb.27.
Scope
10 cu.
Type
Advanced studies.
The course gives an introduction to planar quasiconfomal mappings, their geometric properties and their interactions with PDE's.
With time permitting, a number of applications are also discussed.
Prerequisites
Real analysis; basic complex analysis; some familiarity of Sobolev spaces maybe helpful but not required.
Lectures
First lecture: Tuesday, January 15. Last lecture: February 27.
Weeks 3-9, Monday 12-14 in room B322, Tuesday 10-12 in room C123, Wednesday 12-14 in room C123.
Lecture notes will appear here: 1 and
Exams and Exercises
With an essay one can obtain the credit from the course. Part of the credit can be also be obtained by making the exercises.
- Here is the first set: .
- Here is the second set: .
- Here is the third set: .
If you want credit from Exercise set 3, return your answers by Feb. 29
NOTE: Exercises can be returned either to K.A:s mailbox or scanned and e-mailed to the address: kari.astala@helsinki.fi
Bibliography
Astala-Iwaniec-Martin: Elliptic PDE's and Quasiconformal mappings in the plane. Princeton University, 2009.
Registration
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