Regularity theory for a class of fully nonlinear integral operators

Regularity theory for a class of fully nonlinear integral operators

-
Alexis Vasseur , University of Texas at Austin
Fine Hall 314

We consider a class of non-linear integral variational problems involved in nonlocal image  and signal processing. We show  the existence of global in time classical solutions for those problems. The method is based on  the De Giorgi method applied to nonlocal operators. It is an extension of a similar result we first obtained for the the so-called Surface Geostrophic Equation.