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Strichartz estimates for Schrödinger equations with variable coefficients

Luc RobbianoClaude Zuily

2005Mémoires de la Société mathématique de FranceMathematics被引 14开放获取

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摘要

We prove the (local in time) Strichartz estimates (for the full range of parameters given by the scaling unless the end point) for asymptotically flat and non trapping perturbations of the flat Laplacian in $\R^n$, $n\geq 2$. The main point of the proof, namely the dispersion estimate, is obtained in constructing a parametrix. The main tool for this construction is the use of the FBI transform.

引用本文(GB/T 7714)

Luc Robbiano, Claude Zuily. Strichartz estimates for Schrödinger equations with variable coefficients[J]. Mémoires de la Société mathématique de France, 2005.

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DOI:https://doi.org/10.24033/msmf.414

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