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Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials

偏微分方程分析 2007-05-23 v1

摘要

We prove L^1 --> L^\infty estimates for the linear Schroedinger equation in three dimensions. The potential is assumed to belong to certain L^p spaces, but no pointwise decay estimates and no additional regularity is required.

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引用

@article{arxiv.math/0407331,
  title  = {Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials},
  author = {Michael Goldberg},
  journal= {arXiv preprint arXiv:math/0407331},
  year   = {2007}
}

备注

17 pages