99-144 Ricardo Weder
The $W_{k,p}$-Continuity of the Schroedinger Wave Operators on the Line (40K, LaTex) May 6, 99
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Abstract. We prove that the wave operators for the Schroedinger equation on the line are continuous on the Sobolev spaces $W_{k,p}, 1 < p < \infty$. Moreover, if the potential is exceptional and $a:= lim_{x \rightarrow - \infty} f_1(x,0)=1$,where $f_1(x,0)$ is a Jost solution at zero energy, the wave operators are continuous on $W_{k,1}$ and in $W_{k,\infty}$.

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