A Widder's type Theorem for the heat equation with nonlocal diffusion

Begoña Barrios, Ireneo Peral, Fernando Soria +1

The main goal of this work is to prove that every non-negative {\it strong solution} $u(x,t)$ to the problem $$ u_t+(-Δ)^{α/2}u=0 \ \quad\mbox{for } (x,t)\in\mathbb{R}^{n}\times(0,…