Appendix II: Some Background on Sobolev Spaces

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


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].


Open Subset Sobolev Space Cauchy Sequence Trace Operator Lipschitz Boundary 


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© Birkhäuser Verlag AG 2009

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