147 citations · 1.7k across the 86 of their papers we have counts for
95 papers
Nonlinear interpolation and the flow map for quasilinear equations
Thomas Alazard, Nicolas Burq, Mihaela Ifrim +2
We prove an interpolation theorem for nonlinear functionals defined on scales of Banach spaces that generalize Besov spaces. It applies to functionals defined only locally, requiri…
Global solutions for 1D cubic defocusing dispersive equations, Part IV: general dispersion relations
Mihaela Ifrim, Daniel Tataru
A broad conjecture, formulated by the authors in earlier work, reads as follows: "Cubic defocusing dispersive one dimensional flows with small initial data have global dispersive s…
Near soliton evolution for -equivariant Schrödinger Maps in two space dimensions
Ioan Bejenaru, Mohandas Pillai, Daniel Tataru
We consider equivariant solutions for the Schrödinger Map equation in dimensions, with values into . Within each equivariance class this admi…
Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions
Mihaela Ifrim, Daniel Tataru
In recent work the authors proposed a broad global well-posedness conjecture for cubic defocusing dispersive equations in one space dimension, and then proved this conjecture in tw…
The global well-posedness conjecture for 1D cubic dispersive equations
Mihaela Ifrim, Daniel Tataru
The goal of this article is to discuss a recent conjecture of the two authors, which aims to describe the long time behavior of solutions to one-dimensional dispersive equations wi…
Sharp Hadamard local well-posedness, enhanced uniqueness and pointwise continuation criterion for the incompressible free boundary Euler equations
Mihaela Ifrim, Ben Pineau, Daniel Tataru +1
We provide a complete local well-posedness theory in based Sobolev spaces for the free boundary incompressible Euler equations with zero surface tension on a connected fluid…