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Real Interpolation of Sobolev Spaces

  • Sebastian Bechtel

摘要

The main result of this chapter is a real interpolation identity for Sobolev spaces on \({\boldsymbol {O}}\) with a vanishing trace condition in the boundary part \(D\subseteq \partial \! {\boldsymbol {O}}\) . We will use this result in Chap. 11 to extrapolate regularity properties of \(1-\Delta \) .