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Strichartz Estimates for Schrödinger Operators with Square Potential with Time-Dependent Coefficients

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Abstract

Strichartz estimates for a time-decaying harmonic oscillator were proven with some assumptions of coefficients for the time-decaying harmonic potentials. The main results of this paper are to remove these assumptions and to enable us to deal with the more general coefficient functions. Moreover, we also prove similar estimates for time-decaying homogeneous magnetic fields.

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Funding

Funding was provided by Japan Society for the Promotion of Science (20K14328).

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  1. Department of Engineering for Production, Graduate School of Science and Engineering, Ehime University, 3 Bunkyo-cho, Matsuyama, Ehime, 790-8577, Japan

    Masaki Kawamoto

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  1. Masaki Kawamoto
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Correspondence to Masaki Kawamoto.

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Kawamoto, M. Strichartz Estimates for Schrödinger Operators with Square Potential with Time-Dependent Coefficients. Differ Equ Dyn Syst 31, 827–845 (2023). https://doi.org/10.1007/s12591-020-00537-5

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