9 citations · 10 across the 5 of their papers we have counts for
6 papers
Unconditional uniqueness for the Benjamin-Ono equation
Razvan Mosincat, Didier Pilod
We study the unconditional uniqueness of solutions to the Benjamin-Ono equation with initial data in , both on the real line and on the torus. We use the gauge transformatio…
Global well-posedness and scattering for the Dysthe equation in
Razvan Mosincat, Didier Pilod, Jean-Claude Saut
This paper focuses on the Dysthe equation which is a higher order approximation of the water waves system in the modulation (Schrödinger) regime and in the infinite depth case. We…
Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line
Razvan Mosincat, Haewon Yoon
We prove the unconditional uniqueness of solutions to the derivative nonlinear Schrödinger equation (DNLS) in an almost end-point regularity. To this purpose, we employ the normal…
Stochastic nonlinear Schrödinger equations on tori
Kelvin Cheung, Razvan Mosincat
We consider the stochastic nonlinear Schrödinger equations (SNLS) posed on -dimensional tori with either additive or multiplicative stochastic forcing. In particular, for the on…
Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in
Razvan Mosincat
We establish the global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in the Sobolev space , provided that the mass…
A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle
Razvan Mosincat, Tadahiro Oh
In this note, we consider the derivative nonlinear Schrödinger equation on the circle. In particular, by adapting Wu's recent argument to the periodic setting, we prove its global…