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October 1998 Space-time scattering for the Schrödinger equation
Arne Jensen
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Ark. Mat. 36(2): 363-377 (October 1998). DOI: 10.1007/BF02384775

Abstract

Results are obtained on the scattering theory for the Schrödinger equation $i\partial _t u(t,x) = - \Delta _x u(t,x) + V(t,x)u(t,x) + F(u(t,x))$ in spaces Lr(R; Lq(Rd)) for a certain range of r, q, the so-called space-time scattering. In the linear case (i.e. F≡)) the relation with usual configuration space scattering is established.

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Arne Jensen. "Space-time scattering for the Schrödinger equation." Ark. Mat. 36 (2) 363 - 377, October 1998. https://doi.org/10.1007/BF02384775

Information

Received: 4 August 1997; Published: October 1998
First available in Project Euclid: 31 January 2017

zbMATH: 1021.34069
MathSciNet: MR1650458
Digital Object Identifier: 10.1007/BF02384775

Rights: 1998 © Institut Mittag-Leffler

Vol.36 • No. 2 • October 1998
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