Calculus of Variations and Geometric Measure Theory

A. Figalli

Global existence for the semigeostrophic equations via Sobolev estimates for Monge-Ampère

created by figalli on 29 Mar 2015
modified on 20 Jul 2015


Lecture notes

Inserted: 29 mar 2015
Last Updated: 20 jul 2015

Journal: CIME Lecture Notes
Year: 2015


These notes record and extend the lectures for the CIME Summer Course held by the author in Cetraro during the week of June 2-7, 2014. Our goal is to show how some recent developments in the theory of the Monge-Ampère equation play a crucial role in proving existence of global weak solutions to the semigeostrophic equations.