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Complex Powers of the Neumann Laplacian in Lipschitz Domains |
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| Authors: | Osvaldo Mendez Marius Mitrea |
| Abstract: | Let Lqr(Ω) be the usual scale of Sobolev spaces and let ΔN be the Neumann Laplacian in an arbitrary Lipschitz domain Ω. We present an interpolation based approach to the following question: for what range of indices does  map  isomorphically onto Lqr(Ω)/ℝ? |
| Keywords: | Neumann Laplacian complex powers Lipschitz domains Sobolev spaces |