The aim of this course is to give an introduction to some modern tools to study partial differential equations (PDEs). The plan is to start with elliptic theory, such as Harnack inequalities, and then discuss viscosity solutions. Yet, this plan can be modified, and topics can be chosen according to the interest of the audience. The choice of topics will be discussed in the first lecture.
Update: The audience decided at the beginning of the course that we should cover direct methods in the calculus of variations and parabolic equations plus possibly critical point methods rather than the topics listed above. So this is now the plan.
|Fridays 13:00 - 15:00 (New time!)|
In Bath, the lecture theatre is 3W 4.13.
The course runs during for 8 weeks, starting on 18 January.
Lecture notes will be made available to the participants.
The lecture notes give references for this unit.
Assessment will be in form of an essay on one of the topics covered in class, using additional material we will provide in the lectures.[an error occurred while processing this directive]