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Oscillatory Integrals with Nonhomogeneous Phase Functions Related to Schrödinger Equations

Published online by Cambridge University Press:  20 November 2018

Lawrence A. Kolasa
Lawrence A. Kolasa*
Affiliation:
Ryerson Polytechnic University, e-mail: [email protected]
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Abstract

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In this paper we consider solutions to the free Schrödinger equation in $n+1$ dimensions. When we restrict the last variable to be a smooth function of the first $n$ variables we find that the solution, so restricted, is locally in ${{L}^{2}}$, when the initial data is in an appropriate Sobolev space.

Keywords

42A2542B25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 3 , 01 September 1998 , pp. 306 - 317
Copyright
Copyright © Canadian Mathematical Society 1998

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