7 citations · 8 across the 2 of their papers we have counts for
2 papers
math.AP2008★ 1 cited
Low regularity for a quadratic Schrödinger equation on the circle
Laurent Thomann
In this paper we consider a Schrodinger equation on the circle with a quadratic nonlinearity. Thanks to an explicit computation of the first Picard iterate, we give a precision on…
math.AP2007★ 7 cited
Instabilities for supercritical Schrödinger equations in analytic manifolds
Laurent Thomann
In this paper we consider supercritical nonlinear Schrödinger equations in an analytic Riemannian manifold , where the metric is analytic. Using an analytic WKB method…