7 papers
Asymptotic stability of Benjamin--Ono multisolitons in
Rana Badreddine, Rowan Killip, Monica Visan
We prove the following dichotomy result for solutions to the Benjamin--Ono equation: On windows traveling at any speed, the solution either converges to zero or to…
Determination of radial nonlocal nonlinearities from the scattering map
Luccas Campos, Rowan Killip, Jason Murphy +1
We show that the small-data scattering map uniquely determines the nonlinearity for a class of nonlinear Schrödinger equations with radial, Hartree-type nonlinearities. Our assump…
Orbital stability of Benjamin--Ono multisolitons
Rana Badreddine, Rowan Killip, Monica Visan
We show that multisoliton solutions to the Benjamin--Ono equation are uniformly orbitally stable in for every . This improves the regular…
A priori bounds and equicontinuity of orbits for the intermediate long wave equation
Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan
We prove uniform-in-time a priori bounds for solutions to the intermediate long wave equation posed both on the line and on the circle, covering the range .…
Growth of Fourier--Lebesgue norms for mKdV
Saikatul Haque, Rowan Killip, Monica Visan +1
We demonstrate inflation of Fourier--Lebesgue norms for solutions to the focusing modified Korteweg--de Vries equation posed on the real line. For and all $s\in \mathbb{R…
The nonlinear Schrödinger equation with sprinkled nonlinearity
Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan
We prove global well-posedness for the cubic nonlinear Schrödinger equation with nonlinearity concentrated on a homogeneous Poisson process.