On well-posedness for inhomogeneous Hartree equations in the critical case
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DOI: 10.3934/cpaa.2023060
Abstract: We study the well-posedness for the inhomogeneous Hartree equation $i\partial_t u + \Delta u = \lambda(I_\alpha \ast |\cdot|^{-b}|u|^p)|x|^{-b}|u|^{p-2}u$ in $H^s$, $s\ge0$. Until recently, its well-posedness theory has been intensively studied, focusing on solving the problem… read more here.
Keywords: inhomogeneous hartree; hartree equations; critical case; case ... See more keywords