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arXiv · 2004.10419

Resolvent Estimates for Schr\"{o}dinger Operators with Potentials in Lebesgue Spaces

Tianyi Ren
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Abstract

We prove resolvent estimates in the Euclidean setting for Schr\"{o}dinger operators with potentials in Lebesgue spaces: $-\Delta+V$. The $(L^{2}, L^{p})$ estimates were already obtained by Blair-Sire-Sogge, but we extend their result to other $(L^{p}, L^{q})$ estimates using their idea and the result and method of Kwon-Lee on non-uniform resolvent estimates in the Euclidean space.

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Tianyi Ren. 2020-04-22. Resolvent Estimates for Schr\"{o}dinger Operators with Potentials in Lebesgue Spaces. https://arxiv.org/abs/2004.10419

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