Sharp asymptotic of solutions to some nonlocal parabolic equations

Agnid Banerjee, Abhishek Ghosh

We show that if $u$ solves the fractional parabolic equation $({\partial }_t-\hat{I}”{)}^{s}u=Vu$ in $B_5\times (-25,0]$ ($0<s<1$) such that $u(\cdot ,0)\not\equiv 0$, then the maximal…