论文标题

局部衰减估计

Local Decay Estimates

论文作者

Soffer, Avy, Wu, Xiaoxu

论文摘要

我们给出了Schrödinger类型方程的局部衰减估计值的证明,该方程基于渐近完整性(AC)的知识。该方法扩展到时间依赖的潜在扰动,因为它不依赖于解决的估计或相关方法。从我们的结果中,全球时间strichartz估计了准周期性的时间依赖性潜力。

We give a proof of Local Decay Estimates for Schrödinger type equations, which is based on the knowledge of Asymptotic Completeness (AC). This approach extends to time dependent potential perturbations, as it does not rely on Resolvent Estimates or related methods. Global in time Strichartz estimates follow for quasi-periodic time-dependent potentials from our results.

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