Mitchell A. Taylor

activity

20242026

collaborators

6 papers

math.FA2026

$L^{2}$ -Stability for STFT phase retrieval

Susanna Bertolini, Jaume de Dios Pont, Ben Pineau +2

We prove that the short-time Fourier transform with Gaussian window performs $L^{2}$ -local stable phase retrieval at the constant function. The proof involved significant interplay b…

math.CA2025

Cheeger's Constant for the Gabor Transform and Ripples

Rima Alaifari, Ben Pineau, Mitchell A. Taylor +1

We discover a new instability mechanism for short-time Fourier transform phase retrieval which yields that for any reasonable window function $I ¨ $ in any dimension $d$ , the local s…

math.AP2025

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…

math.AP2025

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 $H^{s}$ based Sobolev spaces for the free boundary incompressible Euler equations with zero surface tension on a connected fluid…

math.AP2024

Low regularity solutions for the general quasilinear ultrahyperbolic SchrÃ¶dinger 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 SchrÃ¶dinger equations with non-degenerate and n…