An $L_q(L_p)$-theory for time-fractional diffusion equations with nonlocal operators generated by Lévy processes with low intensity of small jumps

Jaehoon Kang, Daehan Park

We investigate an $L_q(L_p)$-regularity ($1<p,q<\infty$) theory for space-time nonlocal equations of the type ${\partial }_t^{\alpha }u=\mathcal{L}u+f$. Here, ${\partial }_t^{\alpha }$ is the…