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Singular solutions to the Monge-Ampere equation

  • Connor Mooney (ETH Zürich)
G3 10 (Lecture hall)

Abstract

The Monge-Ampere equation det D^2u = 1 arises in several applications. Examples of Pogorelov show that interior regularity is not expected in general. We will discuss optimal estimates on the Hausdorff dimension of the singular set, and sharp integrability conditions for the second derivatives that rule out singularities. Some of this is joint work with T. Collins.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 12, 2024 tba with Theresa Simon
  • Mar 26, 2024 tba with Phan Thành Nam
  • Mar 26, 2024 tba with Dominik Schmid
  • May 7, 2024 tba with Manuel Gnann
  • May 14, 2024 tba with Barbara Verfürth
  • May 14, 2024 tba with Lisa Hartung
  • Jun 25, 2024 tba with Paul Dario
  • Jul 16, 2024 tba with Michael Loss