Strichartz Estimates for Long Range Perturbations

  title={Strichartz Estimates for Long Range Perturbations},
  author={Nikolay Tzvetkov},
We study local in time Strichartz estimates for the Schrödinger equation associated to long range perturbations of the flat Laplacian on the euclidean space. We prove that in such a geometric situation, outside a large ball centered at the origin, the solutions of the Schrödinger equation enjoy the same Strichartz estimates as in the non perturbed situation. The proof is based on the IsozakiKitada parametrix construction. If in addition the metric is non trapping, we prove that the Strichartz… CONTINUE READING
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