Global-in-time maximal regularity for the Cauchy problem of the heat equation in BMO and applications

Xuan Thinh Duong, Ji Li, Liangchuan Wu +1

In this article, we establish global-in-time maximal regularity for the Cauchy problem of the classical heat equation ${\partial }_{t}u(x,t)-\Delta u(x,t)=f(x,t)$ with $u(x,0)=0$ in a certai…