Department of Mathematics


  •  Lawrence Craig Evans, UC Berkeley
  •  Riccati Equation Methods for Partial Differential Equations
  •  02/27/2020
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall

In this expository talk, I will first explain the surprising effectiveness of a log change of variables for elliptic PDE, and connect this with an old ODE trick that leads to Riccati equations. I will then recall some recent progress using PDE methods to study Hamiltonian dynamics (weak KAM theory) and describe some interesting conjectures and formal calculations, again leading to Riccati equations.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science