30 citations · 38 across the 5 of their papers we have counts for
5 papers
Homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity
Benjamin Harrop-Griffiths, Maria Ntekoume
We first prove homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity introduced in [19]. We then investigate how solutions fluctuate about the homogeniz…
Global well-posedness for the derivative nonlinear Schrödinger equation in
Benjamin Harrop-Griffiths, Rowan Killip, Maria Ntekoume +1
We prove that the derivative nonlinear Schrödinger equation in one space dimension is globally well-posed on the line in , which is the scaling-critical space for…
On the well-posedness problem for the derivative nonlinear Schrödinger equation
Rowan Killip, Maria Ntekoume, Monica Visan
We consider the derivative nonlinear Schrödinger equation in one space dimension, posed both on the line and on the circle. This model is known to be completely integrable and $L^2…
Symplectic non-squeezing for the KdV flow on the line
Maria Ntekoume
We show symplectic non-squeezing for the KdV equation on the line . This is achieved via finite-dimensional approximation. Our choice of finite-dimensional Hamiltonian s…
Homogenization for the cubic nonlinear Schrödinger equation on
Maria Ntekoume
We study the defocusing inhomogeneous mass-critical nonlinear Schrödinger equation on for initial data in . We obtain su…