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Global solutions for cubic quasilinear ultrahyperbolic Schrödinger flows
Mihaela Ifrim, Ben Pineau, Daniel Tataru
In recent work, two of the authors proposed a broad global well-posedness conjecture for cubic quasilinear dispersive equations in two space dimensions, which asserts that global w…
math.AP2025
A-priori estimates for generalized Korteweg-de Vries equations in
Mihaela Ifrim, Thierry Laurens
We prove local-in-time a-priori estimates in for a family of generalized Korteweg--de Vries equations. This is the first estimate for any non-integrable pertur…