Remarks on estimates in modulation spaces and Wiener amalgam spaces for Schrödinger equations with sub-quadratic potentials

In this paper we give an estimate for the solution to the Schrödinger equation with sub-quadratic potentials in modulation spaces and Wiener amalgam spaces by norms of the initial functions in Wiener amalgam spaces and modulation spaces respectively.

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Journal
Journal of Mathematical Analysis and Applications
Published
2025-01-27
DOI
https://doi.org/10.1016/j.jmaa.2025.129312
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

Remarks on estimates in modulation spaces and Wiener amalgam spaces for Schrödinger equations with sub-quadratic potentials

Kosuzu Hamaoka, Shun Takizawa, Keiichi Kato
Journal of Mathematical Analysis and Applications
Advanced Mathematical Physics Problems
article

Remarks on estimates in modulation spaces and Wiener amalgam spaces for Schrödinger equations with sub-quadratic potentials

Kosuzu Hamaoka, Shun Takizawa, Keiichi Kato
article en

Abstract

In this paper we give an estimate for the solution to the Schrödinger equation with sub-quadratic potentials in modulation spaces and Wiener amalgam spaces by norms of the initial functions in Wiener amalgam spaces and modulation spaces respectively.

Journal of Mathematical Analysis and ApplicationsVol. 547(2)
Tokyo University of Science (JP)
Openalex Percentile: Top 96%
Advanced Mathematical Physics Problems
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Remarks on estimates in modulation spaces and Wiener amalgam spaces for Schrödinger equations with sub-quadratic potentials — Kosuzu Hamaoka, Shun Takizawa, et al. · Journal of Mathematical Analysis and Applications (2025) | TGRS Research Map | TGRS