Viscosity Solutions: Theory and Applications. Brief History and Future Directions

Saturday, June 7, 2003 - 9:00am - 9:50am
Keller 3-180
Panagiotis Souganidis (The University of Texas at Austin)
Since their introduction in 1981, viscosity solutions have become one of the fundamental tools in the theory of nonlinear partial differential equations. This lecture presents a brief history of the theory and the main applications. Moreover it identifies two important future directions (stochastic homogenization and stochastic partial differential equations) which are related to the understanding of the role of randomness in the theory of nonlinear equations and related fields.