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math.AP2026
Normalized ground states and a mass-constrained scattering threshold for the inhomogeneous NLS with an inverse-square potential
Mohamed Majdoub, Tarek Saanouni
We study the focusing inhomogeneous nonlinear Schrödinger equation with an inverse-square potential $$ i\partial_t u+Δu-a|x|^{-2}u+|x|^{-b}|u|^αu=0, \qquad (t,x)\in\mathbb{R}\times…
math.AP2026
Remarks on the well-posedness of the energy-critical inhomogeneous Hartree equation
Seongyeon Kim, Tarek Saanouni, Ihyeok Seo
We study the energy-critical inhomogeneous Hartree equation in space dimensions three and higher. Previous local well-posedness results left open the parameter regime where the inh…
math.AP2026
Normalized Standing Waves for the Focusing Inhomogeneous Schrödinger Equation with Spatially Growing Nonlinearity
Mohamed Majdoub, Tarek Saanouni
We study the focusing inhomogeneous nonlinear Schrödinger equation with and .…