Abstract
In this paper, we show the existence of the wave operators for the Schrödinger equation with time-dependent variable coefficients by using the method introduced by the author and . Kato [14] and give characterizations of their ranges by wave packet transform similar to those in [14].
Acknowledgments
The author is grateful to Professor Keiichi Kato for useful discussions. I also thank the referee for several valuable comments suggestions.
Citation
Taisuke Yoneyama. "An application of wave packet transform to scattering theory for Schrödinger equations with variable coefficients." SUT J. Math. 52 (2) 181 - 191, December 2016. https://doi.org/10.55937/sut/1482512648
Information
