# MathSciDoc: An Archive for Mathematician ∫

#### TBDmathscidoc: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.
@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.