The Hartree and Hartree-Fock equations in Lebesgue $L^p$ and Fourier-Lebesgue ${\hat{L}}^p$ spaces

Divyang G. Bhimani, Saikatul Haque

We establish some local and global well-posedness for Hartree-Fock equations of $N$ particles (HFP) with Cauchy data in Lebesgue spaces $L^p\cap L^2$ for $1\le p\le \infty$. S…