Maximum principles, extension problem and inversion for nonlocal one-sided equations

A. Bernardis, F. J. Martín-Reyes, P. R. Stinga +1

We study one-sided nonlocal equations of the form $${\int }_{x_0}^{\infty }\frac{u(x)-u(x_0)}{(x-x_0{)}^{1+\alpha }}dx=f(x_0),$$ on the real line. Notice that to compute this nonlocal operator…