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math.AP2025
A generalized Liouville equation and magnetic stability
Alireza Ataei, Douglas Lundholm, Dinh-Thi Nguyen
This work considers two related families of nonlinear and nonlocal problems in the plane . The first main result derives the general integrable solution to a generali…
math.AP2024
A Sharp condition on global wellposedness of Chern-Simons-Schrödinger equation
Alireza Ataei
In this work, we derive a sharp condition on the mass of the initial data for the global existence of the Chern-Simons-Schrödinger equation. As a corollary, we prove that if the s…