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