A weighted $L_p$-regularity theory for parabolic partial differential equations with time measurable pseudo-differential operators

Jae-Hwan Choi, Ildoo Kim

We obtain the existence, uniqueness, and regularity estimates of the following Cauchy problem \begin{equation}\label{ab eqn} \begin{cases} \partial_t u(t,x)=ψ(t,-i\nabla)u(t,x)+f(t…