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Lp Approach to Elliptic Boundary Value Problems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1499)

Abstract

In this chapter we study elliptic boundary value problems in the framework of Lp-spaces, by using the Lp theory of pseudo-differential operators. For more thorough treatments of this subject, the reader might refer to Hörmander [Ho1], Seeley [Se2], Taylor [Ty, Chapter XI] and also Taira [Ta2, Chapter 8] 7 (L2-version).

Keywords

  • Dirichlet Problem
  • Null Space
  • Besov Space
  • Neumann Problem
  • Elliptic Boundary

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Correspondence to Kazuaki Taira .

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© 2009 Springer-Verlag Berlin Heidelberg

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Taira, K. (2009). Lp Approach to Elliptic Boundary Value Problems. In: Boundary Value Problems and Markov Processes. Lecture Notes in Mathematics(), vol 1499. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01677-6_4

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