The Projection Theorem

Roger Temam

Chapter Chapter 1 in Numerical Analysis, 1973, pp 5-11 from Springer

Abstract: Abstract In this chapter we prove a very simple theorem, known as the projection theorem or Lax-Milgram theorem. It implies existence and uniqueness of ‘weak’ solutions for certain classes of linear elliptic problems. In Part II, two applications are developed (cf. Chapter 7; Sections 11.1 and 12.1).

Keywords: Scalar Product; Real Hilbert Space; Canonical Isomorphism; Projection Theorem; Hilbert Space Versus (search for similar items in EconPapers)
Date: 1973
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DOI: 10.1007/978-94-010-2565-2_2

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