Small time asymptotics of spectral heat contents for subordinate killed Brownian motions related to isotropic α-stable processes

Hyunchul Park, Renming Song

In this paper we study the small time asymptotic behavior of the spectral heat content ${\tilde{Q}}_D^{(\alpha )}(t)$ of an arbitrary bounded $C^{1,1}$ domain $D$ with respect to the \…