Regularity theory for a class of fully nonlinear integral operators
Regularity theory for a class of fully nonlinear integral operators
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Alexis Vasseur , University of Texas at Austin
We consider a class of non-linear integral variational problems involved in nonlocal image听 and signal processing. We show听 the existence of global in time classical solutions for those problems. The method is based on听 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.