University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Contact Solutions for Fully Nonlinear PDE Systems, Calculus of Variations in L-Infinity and Aronsson Maps

Contact Solutions for Fully Nonlinear PDE Systems, Calculus of Variations in L-Infinity and Aronsson Maps

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Jonathan Ben-Artzi.

Very recently there has been proposed a theory of non-differentiable solutions which applies to fully nonlinear PDE systems and extends Viscosity Solutions of Crandall-Ishii-Lions to the general case of maps. It is based on the discovery of an extremality principle which applies to vector fields and leads to a PDE theory within which numerous “solutions” of systems like the Infinity-Laplacian can be rigorously interpreted, while, most importantly, the theory supports flexibility under limit operations, preserving the working philosophy and the main features of the scalar counterpart. In this new context, we will discuss some recent applications to the Aronsson system arising in Calculus of Variations in L-Infinity for maps.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity