Heat content and small time asymptotics for Schrödinger operators on $R^d$

Luis Acuña Valverde, Rodrigo Bañuelos

This paper studies the heat content} for Schrödinger operators of the fractional Laplacian $(-\Delta {)}^{\alpha /2}$, $0<\alpha \le 2$ in $R^d$, $d\ge 1$. Employing probabilistic and analytic techn…