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Problems on Pointwise Convergence of Solutions to the Schrödinger Equation

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Abstract

In this paper we consider several variants of the pointwise convergence problem for the Schrödinger equation, which generalize the previously known results.

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Notes

  1. In fact, it remains valid for locally Lipschitz continuous function ω. See Lemma 3.3 in [5].

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Acknowledgements

C. Cho and S. Lee were supported in part by NRF 2011-0001251 (Korea). A. Vargas partially supported by MTM2010-16518 (Spain).

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Authors and Affiliations

  1. School of Mathematical Sciences, Seoul National University, Seoul, 151-742, Republic of Korea

    Chu-Hee Cho & Sanghyuk Lee

  2. Department of Mathematics, Universidad Autonoma de Madrid, 28049, Madrid, Spain

    Ana Vargas

Authors
  1. Chu-Hee Cho
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  2. Sanghyuk Lee
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  3. Ana Vargas
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Correspondence to Sanghyuk Lee.

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Communicated by Luis Vega.

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Cho, CH., Lee, S. & Vargas, A. Problems on Pointwise Convergence of Solutions to the Schrödinger Equation. J Fourier Anal Appl 18, 972–994 (2012). https://doi.org/10.1007/s00041-012-9229-2

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