8 citations · 13 across the 3 of their papers we have counts for
3 papers
Global Schrödinger maps
Ioan Bejenaru, Alexandru D. Ionescu, Carlos E. Kenig +1
We consider the Schrödinger map initial-value problem in dimension two or greater. We prove that the Schrödinger map initial-value problem admits a unique global smooth solution, p…
Semilinear Schrödinger Flows on Hyperbolic Spaces: Scattering in H^1
Alexandru D. Ionescu, Gigliola Staffilani
We prove global well-posedness and scattering in for the defocusing nonlinear Schrödinger equations \begin{equation*} \begin{cases} &(i\partial_t+Δ_\g)u=u|u|^{2σ}; &u(0)=ϕ, \…
Weighted Low-Regularity Solutions of the KP-I Initial Value Problem
J. Colliander, A. D. Ionescu, C. E. Kenig +1
In this paper we establish local well-posedness of the KP-I problem, with initial data small in the intersection of the natural energy space with the space of functions which are s…