A first course in Sobolev spaces

A first course in Sobolev spaces

This book is about differentiation of functions. It is divided into two parts, which can be used as different textbooks, one for an advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The first part develops the theory of monotone, absolutel...

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Détails bibliographiques
Auteur principal : Leoni Giovanni (Auteur)
Format : Livre
Langue : anglais
Titre complet : A first course in Sobolev spaces / Giovanni Leoni
Édition : 2nd edition
Publié : Providence (RI) : American Mathematical Society , copyright 2017
Description matérielle : 1 vol. (XXII-734 p.)
Collection : Graduate studies in mathematics ; 181
Sujets :
Sobolev, Espaces de
Documents associés : Autre format: A first course in Sobolev spaces
  • Chapter 1. Monotone functions
  • Chapter 2. Functions of bounded pointwise variation
  • Chapter 4. Decreasing rearrangement
  • Chapter 5. Curves
  • Chapter 6. Lebesgue-Stieltjes measures
  • Chapter 7. Functions of bounded variation and Sobolev functions
  • Chapter 8. Infinite-dimensional case
  • Chapter 9. Change of variables and the divergence theorem
  • Chapter 10. Distributions
  • Chapter 11. Sobolev spaces
  • Chapter 12. Sobolev spaces: Embeddings
  • Chapter 13. Sobolev spaces: Further properties
  • Chapter 14. Functions of bounded variation
  • Chapter 15. Sobolev spaces: Symmetrization
  • Chapter 16. Interpolation of Banach spaces
  • Chapter 17. Besov spaces
  • Chapter 18. Sobolev spaces: Traces
  • Appendix A. Functional analysis
  • Appendix B. Measures
  • Appendix C. The Lebesgue and Hausdorff measures
  • Appendix D. Notes
  • Appendix E. Notation and list symbols