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An Introduction to Sobolev Spaces and Interpolation Spaces

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Cover of 'An Introduction to Sobolev Spaces and Interpolation Spaces'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Historical Background
  3. Altmetric Badge
    Chapter 2 The Lebesgue Measure, Convolution
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    Chapter 3 Smoothing by Convolution
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    Chapter 4 Truncation; Radon Measures; Distributions
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    Chapter 5 Sobolev Spaces; Multiplication by Smooth Functions
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    Chapter 6 Density of Tensor Products; Consequences
  8. Altmetric Badge
    Chapter 7 Extending the Notion of Support
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    Chapter 8 Sobolev's Embedding Theorem, 1 ≤ 
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    Chapter 9 Sobolev's Embedding Theorem, N ≤  p  ≤ ∞
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    Chapter 10 Poincaramp;#x00E9;'s Inequality
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    Chapter 11 The Equivalence Lemma; Compact Embeddings
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    Chapter 12 Regularity of the Boundary; Consequences
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    Chapter 13 Traces on the Boundary
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    Chapter 14 Green's Formula
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    Chapter 15 The Fourier Transform
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    Chapter 16 Traces of H s ( R N )
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    Chapter 17 Proving that a Point is too Small
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    Chapter 18 Compact Embeddings
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    Chapter 19 Lax–Milgram Lemma
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    Chapter 20 The Space H ( div ; Ω )
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    Chapter 21 Background on Interpolation; the Complex Method
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    Chapter 22 Real Interpolation; K -Method
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    Chapter 23 Interpolation of L 2 Spaces with Weights
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    Chapter 24 Real Interpolation; J -Method
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    Chapter 25 Interpolation Inequalities, the Spaces ( E 0 , E 1 ) θ , 1
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    Chapter 26 The Lions–Peetre Reiteration Theorem
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    Chapter 27 Maximal Functions
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    Chapter 28 Bilinear and Nonlinear Interpolation
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    Chapter 29 Obtaining L p by Interpolation, with the Exact Norm
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    Chapter 30 My Approach to Sobolev's Embedding Theorem
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    Chapter 31 My Generalization of Sobolev's Embedding Theorem
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    Chapter 32 Sobolev's Embedding Theorem for Besov Spaces
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    Chapter 33 The Lions–Magenes Space $H_{00}^{1/2} ( \Omega)$
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    Chapter 34 Defining Sobolev Spaces and Besov Spaces for Ω
  36. Altmetric Badge
    Chapter 35 Characterization of W s , p ( R N )
  37. Altmetric Badge
    Chapter 36 Characterization of W s , p ( Ω )
  38. Altmetric Badge
    Chapter 37 Variants with BV Spaces
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    Chapter 38 Replacing BV by Interpolation Spaces
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    Chapter 39 Shocks for Quasi-Linear Hyperbolic Systems
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    Chapter 40 Interpolation Spaces as Trace Spaces
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    Chapter 41 Duality and Compactness for Interpolation Spaces
  43. Altmetric Badge
    Chapter 42 Miscellaneous Questions
  44. Altmetric Badge
    Chapter 43 Biographical Information
  45. Altmetric Badge
    Chapter 44 Abbreviations and Mathematical Notation
Overall attention for this book and its chapters
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Title
An Introduction to Sobolev Spaces and Interpolation Spaces
Published by
Springer Berlin Heidelberg, May 2007
DOI 10.1007/978-3-540-71483-5
ISBNs
978-3-54-071482-8, 978-3-54-071483-5
Authors

Tartar, Luc

Mendeley readers

The data shown below were compiled from readership statistics for 96 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 2 2%
United Kingdom 2 2%
Ghana 1 1%
Argentina 1 1%
Belgium 1 1%
Unknown 89 93%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 34 35%
Researcher 13 14%
Student > Master 12 13%
Professor 9 9%
Professor > Associate Professor 7 7%
Other 13 14%
Unknown 8 8%
Readers by discipline Count As %
Mathematics 60 63%
Engineering 11 11%
Computer Science 4 4%
Physics and Astronomy 2 2%
Earth and Planetary Sciences 2 2%
Other 4 4%
Unknown 13 14%