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math.AP2024

Modified Wave operators for the Hartree equation with repulsive Coulomb potential

Wenrui Huang

We study the final state problem for the Hartree equation with repulsive Coulomb potential: \[i\partial_t u+\frac{1}{2}Δu-\frac{1}{|x|}u=((-Δ)^{-1}|u|)^2u\] We show the work in \ci…