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20052025
most citedOn the Cauchy problem for the derivative nonlinear Schroedinger equation with periodic boundary condition

98 citations · 104 across the 5 of their papers we have counts for

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math.AP2025

Global results for weakly dispersive KP-II equations on the cylinder

Sebastian Herr, Robert Schippa, Nikolay Tzvetkov

We consider the dispersion-generalized KP-II equation on a partially periodic domain in the weakly dispersive regime. We use Fourier decoupling techniques to derive essentially sha…

math.AP2025★ 1 cited

Global well-posedness of the cubic nonlinear Schrödinger equation on

Sebastian Herr, Beomjong Kwak

We prove global well-posedness for the cubic nonlinear Schrödinger equation for periodic initial data in the mass-critical dimension for initial data of arbitrary size in the…