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math-ph2025
The Semiclassical Limit of the 2D Dirac--Hartree Equation with Periodic Potentials
Jinyeop Lee, Kunlun Qi
We study the semiclassical limit of the two-dimensional Dirac--Hartree equation in the presence of a periodic external potential. The spinor dynamics are formulated using the matri…
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 ene…