53 citations · 174 across the 21 of their papers we have counts for
24 papers
Global well-posedness for the derivative nonlinear Schrödinger equation on the circle
Hajer Bahouri, Galina Perelman
We consider the derivative nonlinear Schrödinger equation on the circle, and prove that it is globally well-posed in the Sobolev space $H^1(\TT)$.
Restriction problems on the three-dimensional Heisenberg nilmanifold
Hajer Bahouri, Veronique Fischer
In this paper, we prove a spectral restriction theorem on the three-dimensional Heisenberg nilmanifold. Since this manifold is an -bundle over the flat torus $\mathbb…
Some geometric and spectral aspects of restriction problems
Hajer Bahouri, Veronique Fischer
This texts commemorates the memory of Haim Brezis and explores some aspects of the restriction problem, particularly its connections to spectral and geometric analysis. Our choice…
Spectral summability for the quartic oscillator with applications to the Engel group
Hajer Bahouri, Davide Barilari, Isabelle Gallagher +1
In this article, we investigate spectral properties of the sublaplacian on the Engel group, which is the main example of a Carnot group of step 3. We develop a new approac…
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.
Local dispersive and Strichartz estimates for the Schr{ö}dinger operator on the Heisenberg group
Hajer Bahouri, Isabelle Gallagher
It was proved by H. Bahouri, P. G{é}rard and C.-J. Xu in [9] that the Schr{ö}dinger equation on the Heisenberg group , involving the sublaplacian, is an example of a…