A Gentle Invitation to the Fractional World

The book focuses on the basic theory of nonlocal and fractional operators and it is divided into two main parts covering respectively the basic theory of the "singular-integral" fractional Laplacian operator, which also includes a number of explicit examples of its evaluations, and the reg...

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Bibliografiske detaljer
Main Authors: Abatangelo, Nicola (Author), Dipierro, Serena (Author), Valdinoci, Enrico (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Udgivelse:1st ed. 2025.
Serier:La Matematica per il 3+2, 176
Fag:
Online adgang:https://doi.org/10.1007/978-3-032-02952-2
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Indholdsfortegnelse:
  • Chapter 1. Equivalent definitions of the fractional Laplacian
  • Chapter 2. Some explicit calculations of fractional Laplacians
  • Chapter 3. Liouville-type results
  • Chapter 4. Regularity theory in Lebesgue spaces for global solutions
  • Chapter 5. Interior regularity theory in Lebesgue spaces.