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Analytically Smoothing Effect for Schrödinger Type Equations with Variable Coefficients

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Direct and Inverse Problems of Mathematical Physics

Abstract

We shall investigate analytically smoothing effects of the solutions to the Cauchy problem for Schrödinger type equations. We shall prove that if the initial data decay exponentially then the solutions become analytic with respect to the space variables. Let T > 0.

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Kajitani, K., Wakabayashi, S. (2000). Analytically Smoothing Effect for Schrödinger Type Equations with Variable Coefficients. In: Gilbert, R.P., Kajiwara, J., Xu, Y.S. (eds) Direct and Inverse Problems of Mathematical Physics. International Society for Analysis, Applications and Computation, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3214-6_10

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  • DOI: https://doi.org/10.1007/978-1-4757-3214-6_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4818-2

  • Online ISBN: 978-1-4757-3214-6

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