43 citations · 43 across the 5 of their papers we have counts for
5 papers · 1 filter
Uniqueness of the modified Schroedinger map in H^{3/4+e}(R^2)
Jun Kato, Herbert Koch
We establish local well-posedness of the modified Schroedinger map in H^s, s>3/4.
Spectral projections for the twisted Laplacian
Herbert Koch, Fulvio Ricci
The twisted Laplacian in the d=2n dimensional Euclidean space has the spectrum n+2k, k a nonnegative integer. We find sharp asymptotic bounds of the norm of the projection to the e…
Nonlinear wave interactions for the Benjamin-Ono equation
Herbert Koch, Nikolay Tzvetkov
We study the interaction of suitable small and high frequency waves evolving by the flow of the Benjamin-Ono equation. As a consequence, we prove that the flow map of the Benjamin-…
L^p eigenfunction bounds for the Hermite operator
Herbert Koch, Daniel Tataru
We obtain L^p eigenfunction bounds for the harmonic oscillator in R^n and for other related operators, improving earlier results of Thangavelu and Karadzhov. We also construct suit…
Dispersive estimates for principally normal pseudodifferential operators
Herbert Koch, Daniel Tataru
The aim of these notes is to describe some recent results concerning dispersive estimates for principally normal pseudodifferential operators. The main motivation for this comes fr…