5 citations · 7 across the 6 of their papers we have counts for
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Phase retrieval for Schrödinger evolutions
Ben Pineau, João P. G. Ramos, Mitchell A. Taylor
Consider the one-dimensional Schrödinger evolution where is a real-valued time-dependent potentia…
On the optimal Sobolev threshold for evolution equations with rough nonlinearities
Ben Pineau, Mitchell A. Taylor
In this article we are concerned with evolution equations of the form \begin{equation*} \partial_tu-A(D)u=F(u,\overline{u},\nabla u, \nabla \overline{u}) \end{equation*} where $A(D…
Sharp well-posedness for the free boundary MHD equations
Mihaela Ifrim, Ben Pineau, Daniel Tataru +1
In this article, we provide a definitive well-posedness theory for the free boundary problem in incompressible magnetohyrodynamics. Despite the clear physical interest in this syst…
Low regularity solutions for the general quasilinear ultrahyperbolic Schrödinger equation
Ben Pineau, Mitchell A. Taylor
We present a novel method for establishing large data local well-posedness in low regularity Sobolev spaces for general quasilinear Schrödinger equations with non-degenerate and no…
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…