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math.AP2004
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…
math.AP2004
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…
math.AP2003★ 3 cited
Nonlinear wave equations
Daniel Tataru
The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first t…