Special Session 39: Recent results in local and nonlocal elliptic and parabolic equations

The Bernstein technique for integro-differential equations

Serena Dipierro
University of Western Australia
Australia
Co-Author(s):    
Abstract:
We discuss how to extend the classical Bernstein technique to the setting of integro-differential operators. As a consequence, we provide first and one-sided second derivative estimates for solutions to fractional equations, for which we prove uniform estimates as their order approaches two.