53 citations · 91 across the 9 of their papers we have counts for
11 papers
Bounds for the Derivative Nonlinear Schrödinger Equation
Hajer Bahouri, Trevor M. Leslie, Galina Perelman
We study the derivative nonlinear Schrödinger equation on the real line and obtain global-in-time bounds on high order Sobolev norms.
Global well-posedness for the derivative nonlinear Schrödinger equation
Hajer Bahouri, Galina Perelman
This paper is dedicated to the study of the derivative nonlinear Schrödinger equation on the real line. The local well-posedness of this equation in the Sobolev spaces is well unde…
Blow up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to Simons cone
Hajer Bahouri, Alaa Marachli, Galina Perelman
In this article, we establish the existence of a family of hypersurfaces which evolve by the vanishing mean curvature flow in Minkowski space and which as $t…
A Fourier approach to the profile decomposition in Orlicz spaces
Hajer Bahouri, Galina Perelman
This paper is devoted to the characterization of the lack of compactness of the Sobolev embedding of into the Orlicz space using Fourier analysis.
Scattering for the critical 2-D NLS with exponential growth
Hajer Bahouri, Slim Ibrahim, Galina Perelman
In this article, we establish in the radial framework the -scattering for the critical 2-D nonlinear Schrödinger equation with exponential growth. Our strategy relies on both…
Non-dispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in R^3
Cecilia Ortoleva, Galina Perelman
We consider the energy critical focusing NLS in R^3 and prove, for any sufficiently small, the existence of radial finite energy solutions that as behave as a sum…