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June 2014 Singularities for solutions to time dependent Schrödinger equations with sub-quadratic potential
Keiichi Kato, Shingo Ito
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SUT J. Math. 50(2): 383-398 (June 2014). DOI: 10.55937/sut/1424698856

Abstract

In this article, we determine the wave front sets of solutions to time dependent Schrödinger equations with a sub-quadratic potential by using the representation of the Schrödinger evolution operator via wave packet transform (short time Fourier transform).

Acknowledgements

The authors would like to thank the referee for lots of useful comments.

Citation

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Keiichi Kato. Shingo Ito. "Singularities for solutions to time dependent Schrödinger equations with sub-quadratic potential." SUT J. Math. 50 (2) 383 - 398, June 2014. https://doi.org/10.55937/sut/1424698856

Information

Received: 8 August 2014; Revised: 10 December 2014; Published: June 2014
First available in Project Euclid: 11 June 2022

Digital Object Identifier: 10.55937/sut/1424698856

Subjects:
Primary: 35A18 , 35Q41

Keywords: Schrödinger equation , wave front set , wave packet transform

Rights: Copyright © 2014 Tokyo University of Science

Vol.50 • No. 2 • June 2014
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