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Space-time scattering for the Schrödinger equation

Arne Jensen Department of Mathematics Institute for Electronic Systems, Aalborg University

TBD mathscidoc:1701.332902

Arkiv for Matematik, 36, (2), 363-377, 1997.8
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$L$^{$r$}($R$;$L$^{$q$}($R$^{$d$})) 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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@inproceedings{arne1997space-time,
  title={Space-time scattering for the Schrödinger equation},
  author={Arne Jensen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203554319259711},
  booktitle={Arkiv for Matematik},
  volume={36},
  number={2},
  pages={363-377},
  year={1997},
}
Arne Jensen. Space-time scattering for the Schrödinger equation. 1997. Vol. 36. In Arkiv for Matematik. pp.363-377. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203554319259711.
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