Publications de Younes Pierre Zine

Publications associées (4)

Norm inflation for the derivative nonlinear Schrödinger equation

In this note, we study the ill-posedness problem for the derivative nonlinear Schr & ouml;dinger equation (DNLS) in the one-dimensional setting. More precisely, by using a ternary-quinary tree expansion of the Duhamel formula we prove norm inflation in Sob ...

ACAD SCIENCES2024

A simple construction of the sine‐Gordon model via stochastic quantization

Martin Hairer, Younes Pierre Zine

We present a simple PDE construction of the sine‐Gordon measure below the first threshold (), in both the finite and infinite volume settings, by studying the corresponding parabolic sine‐Gordon model. We also establish pathwise global well‐posedness of th ...

Wiley2025

Smoluchowski-Kramers approximation for singular stochastic wave equations in two dimensions

Younes Pierre Zine

Institute of Mathematical Statistics2025

A note on products of stochastic objects

Younes Pierre Zine

Duke University Press2025