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Die Sobolev-Räume H m,p(Ω)

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In diesem Abschnitt sind ausnahmsweise alle Funktionen reellwertig. Wie zuvor bezeichnen wir mit \({\textrm{L}}_{{\textrm{loc}}}^{\textrm{1}} (\Omega)\) den Raum der meßbaren Funktionen u, die auf jeder Menge \(\Omega _0 \subset \!\!\! \subset \Omega\) integrierbar sind.

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Literaturverzeichnis

  1. Meyers N., Serrin, J.: H=W. Proc. Nat. Acad. Sci. USA, 51, 1055–1056(1964)

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  2. Agmon, S.: Lectures on Elliptic Boundary Value Problems. Van Nostrand, Princeton, N.J. (1965)

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Correspondence to Manfred Dobrowolski .

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Dobrowolski, M. (2010). Die Sobolev-Räume H m,p(Ω). In: Angewandte Funktionalanalysis. Springer-Lehrbuch Masterclass. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15269-6_5

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