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Exponential Time Decay Solutions of Schrödinger Equations and of Wave Equations in Even Dimensional Spaces

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Analysis and Applications — ISAAC 2001

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 10))

Abstract

We investigate the sufficient conditions on the initial data in order that the solutions of the Cauchy problem for Schrödinger equations with some potentials and also for even dimentional wave equations decay exponentially in time.

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References

  1. Dan, Y., Kajitani, K.: Smoothing effect and exponential Time decay of Solutions of Schrödinger equations. Preprint.

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  2. Kajitani, K.: Analytically smoothing effect for Schrödinger equations. Proceedings of the International Conference on Dynamical Systems and Differential Equations in Southwest Missouri State University (1996). Art added Volume I to Discrete and Continuous Dynamical Systems, 1998, 350–352.

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  3. Rauch, J.: Local decay of scattering solutions to Schrödinger’s equation. Commun. Math. Phys. 61 (1978), 149–168.

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© 2003 Springer Science+Business Media Dordrecht

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Dan, Y., Kajitani, K. (2003). Exponential Time Decay Solutions of Schrödinger Equations and of Wave Equations in Even Dimensional Spaces. In: Begehr, H.G.W., Gilbert, R.P., Wong, M.W. (eds) Analysis and Applications — ISAAC 2001. International Society for Analysis, Applications and Computation, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3741-7_19

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  • DOI: https://doi.org/10.1007/978-1-4757-3741-7_19

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5247-9

  • Online ISBN: 978-1-4757-3741-7

  • eBook Packages: Springer Book Archive

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