A remark on Strichartz estimates for Schrödinger equations with slowly decaying potentials
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- by Kouichi Taira
- Proc. Amer. Math. Soc. 150 (2022), 3953-3958
- DOI: https://doi.org/10.1090/proc/15954
- Published electronically: April 7, 2022
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Abstract:
In this short note, we prove Strichartz estimates for Schrödinger operators with slowly decaying singular potentials in dimension two. This is a generalization of the recent results by Mizutani, which are stated for dimension greater than two. The main ingredient of the proof is a variant of Kato’s smoothing estimate with a singular weight.References
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Bibliographic Information
- Kouichi Taira
- Affiliation: Department of Mathematical Sciences, Ritsumeikan University, 1-1-1 NojiHigashi, Kusatsu, 525-8577, Japan
- Email: ktaira@fc.ritsumei.ac.jp
- Received by editor(s): August 5, 2021
- Received by editor(s) in revised form: October 9, 2021, December 7, 2021, and December 9, 2021
- Published electronically: April 7, 2022
- Communicated by: Ariel Barton
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 3953-3958
- MSC (2020): Primary 35Q41
- DOI: https://doi.org/10.1090/proc/15954
- MathSciNet review: 4446243