8 citations · 19 across the 9 of their papers we have counts for
3 papers · 2 filters
Min-max formulas for nonlocal elliptic operators on Euclidean space
Nestor Guillen, Russell Schwab
An operator satisfies the Global Comparison Property if anytime a function touches another from above at some point, then the operator preserves the ordering at the point of contac…
Some free boundary problems recast as nonlocal parabolic equations
Hector A. Chang-Lara, Nestor Guillen, Russell W. Schwab
In this work we demonstrate that a class of some one and two phase free boundary problems can be recast as nonlocal parabolic equations on a submanifold. The canonical examples wou…
Coupling Levy measures and comparison principles for viscosity solutions
Nestor Guillen, Chenchen Mou, Andrzej Swiech
We prove new comparison principles for viscosity solutions of non-linear integro-differential equations. The operators to which the method applies include but are not limited to th…