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- W4288804251 abstract "We consider the higher order Schrodinger operator $H=(-Delta)^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>2m$, $min mathbb N$. We adapt our recent results for $m>1$ to show that the wave operators are bounded on $L^p(mathbb R^n)$ for the full the range $1leq pleq infty$ in both even and odd dimensions without assuming the potential is small. The approach used works without distinguishing even and odd cases, captures the endpoints $p=1,infty$, and somehow simplifies the low energy argument even in the classical case of $m=1$." @default.
- W4288804251 created "2022-07-30" @default.
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- W4288804251 date "2022-07-28" @default.
- W4288804251 modified "2023-10-15" @default.
- W4288804251 title "A note on endpoint $L^p$-continuity of wave operators for classical and higher order Schrodinger operators" @default.
- W4288804251 doi "https://doi.org/10.48550/arxiv.2207.14264" @default.
- W4288804251 hasPublicationYear "2022" @default.
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