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math.AP2026
Global solutions for 1D cubic defocusing dispersive equations, Part V: low regularity NLS
Mihaela Ifrim, Ryan Martinez, Daniel Tataru
This article is motivated by a broad conjecture, formulated by the first and last authors in earlier work, asserting that one-dimensional cubic defocusing dispersive flows with sma…
math.AP2026
Local well-posedness of spatially quasiperiodic gravity water waves in two dimensions
Mihaela Ifrim, Jon Wilkening, Xinyu Zhao
We provide the first proof of local well-posedness for the two-dimensional gravity water wave equations with spatially quasi-periodic initial conditions. We represent the solution…
math.AP2026
Enhanced lifespan bounds for 1D quasilinear Klein-Gordon flows
Hongjing Huang, Mihaela Ifrim, Daniel Tataru
In this article we consider one-dimensional scalar quasilinear Klein--Gordon equations with general nonlinearities, on both and . By employing a refined mo…