February 2024 Estimates on modulation spaces for Schrödinger operators with time-dependent sub-linear vector potentials
Keiichi KATO, Ryo MURAMATSU
Author Affiliations +
Hokkaido Math. J. 53(1): 51-69 (February 2024). DOI: 10.14492/hokmj/2022-610

Abstract

In this paper, we give estimates of the solutions to Schrödinger equation on modulation spaces with vector potential of sub-linear growth.

Citation

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Keiichi KATO. Ryo MURAMATSU. "Estimates on modulation spaces for Schrödinger operators with time-dependent sub-linear vector potentials." Hokkaido Math. J. 53 (1) 51 - 69, February 2024. https://doi.org/10.14492/hokmj/2022-610

Information

Received: 2 February 2022; Revised: 8 July 2022; Published: February 2024
First available in Project Euclid: 13 February 2024

Digital Object Identifier: 10.14492/hokmj/2022-610

Subjects:
Primary: 35J10 , 35Q41

Keywords: modulation space , Schrödinger equation , sub-linear magnetic field , time dependent magnetic field , wave packet transform

Rights: Copyright c 2024 Hokkaido University, Department of Mathematics

Vol.53 • No. 1 • February 2024
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