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Appendix II: Some Background on Sobolev Spaces

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series (BAT)

Abstract

In this chapter we introduce some concepts about distributions, Sobolev spaces and differential operators acting on such spaces. For a more solid grounding the reader should consult Adams [1], Brezis [22], Dautray and Lions [42, 43], Grisvard [77], Hörmander [101], Lions and Magenes [157], Neças [176] and Zuily [246]. Starting from Section 13.5 we assume that the reader knows some basic concepts about differentiable manifolds, as can be found, for instance, in Spivak [208].

Keywords

Open Subset Sobolev Space Cauchy Sequence Trace Operator Lipschitz Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2009

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