Monge-Ampere equation
Speaker: Sooraj AP, IIT Bombay
Host: Harsha Hutridurga
Title: On the Monge-Ampere equation
Time, day and date: 11:00:00 AM – 12:00:00 PM, Thursday, February 19
Venue: Room 215
Abstract: We shall show C^1 regularity in 2D for solutions to the weak formulation of the Dirichlet problem for the Monge-Ampère equation when the initial data is locally essentially bounded. Along the way, we shall derive a dichotomy between the existence of regular solutions and the propagation of singularities along an entire line segment. The contents of this lecture are not reliant on that of the previous one.