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.
No keywords uploaded!
[ Download ] [ 2017-01-08 20:35:54 uploaded by arkivadmin ] [ 277 downloads ] [ 0 comments ]
  title={Space-time scattering for the Schrödinger equation},
  author={Arne Jensen},
  booktitle={Arkiv for Matematik},
Arne Jensen. Space-time scattering for the Schrödinger equation. 1997. Vol. 36. In Arkiv for Matematik. pp.363-377.
Please log in for comment!
Contact us: | Copyright Reserved