A Gentle Invitation to the Fractional World / / by Nicola Abatangelo, Serena Dipierro, Enrico Valdinoci

• Autore: Abatangelo Nicola
• Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025
• Edizione: 1st ed. 2025.
• Descrizione fisica: 1 online resource (389 pages)
• Disciplina: 515
• Soggetto topico: Mathematical analysis; Analysis
• Altri autori: DipierroSerena ValdinociEnrico
• Nota di contenuto: 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.
• Sommario/riassunto: 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 regularity theory in L^p spaces, by going through Bessel and Besov spaces. A number of appendices then go over additional material in order to make the exposition as self-contained as possible. The book is suitable for a PhD course but can be also read by advanced undergraduates. It contains didactic elements, but it is also useful for researchers, since it collects essential material in a concise and self-constrained way.
• Titolo autorizzato: A Gentle Invitation to the Fractional World
• ISBN: 9783032029522
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911035162803321
• Lo trovi qui: Univ. Federico II
• Serie: La Matematica per il 3+2, . 2038-5757 ; ; 176