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1995 Energy dependent scattering theory
David H. Sattinger, Jacek Szmigielski
Differential Integral Equations 8(5): 945-959 (1995).

Abstract

We consider the scattering transform for Schrödinger operators with energy dependent potentials. We prove unique invertibility of the transform when there are no bound states and find a simplified recovery formula. We construct as a special case a one-soliton "breather". As an application we prove a global existence theorem for a class of non-linear partial differential equations.

Citation

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David H. Sattinger. Jacek Szmigielski. "Energy dependent scattering theory." Differential Integral Equations 8 (5) 945 - 959, 1995.

Information

Published: 1995
First available in Project Euclid: 20 May 2013

zbMATH: 0831.35152
MathSciNet: MR1325540

Subjects:
Primary: 34L25
Secondary: 34A55, 35Q53, 81U40

Rights: Copyright © 1995 Khayyam Publishing, Inc.

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Vol.8 • No. 5 • 1995
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