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math.AP2026
Modified Scattering for the Time-Dependent Kohn--Sham Equation
Masaki Kawamoto, Jinyeop Lee, Changhun Yang +1
We study the long-time behavior of the (critical) Kohn--Sham equation in two and three dimensions, i.e.,\[ \mathrm{i} \partial_t γ = \Big[-\frac{1}{2}Δ+ λ\, |\cdot|^{-1} \ast ρ_{γ}…
math.AP2025
Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity
Jinyeop Lee, Andrew Rout
We study the solution theory of the nonlinear Schrödinger equation with a concentrated nonlinearity on the torus. In particular, we establish existence and uniqueness of global en…