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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| Glavni autori: | , , |
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| Format: | Elektronički e-knjiga |
| Jezik: | engleski |
| Izdano: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Izdanje: | 1st ed. 2025. |
| Serija: | La Matematica per il 3+2,
176 |
| Teme: | |
| Online pristup: | https://doi.org/10.1007/978-3-032-02952-2 |
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| 100 | 1 | |a Abatangelo, Nicola. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 2 | |a A Gentle Invitation to the Fractional World |h [electronic resource] / |c by Nicola Abatangelo, Serena Dipierro, Enrico Valdinoci. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (X, 257 p. 1 illus.). | ||
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| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
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| 490 | 1 | |a La Matematica per il 3+2, |x 2038-5757 ; |v 176 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 1 | 4 | |a Analysis. |
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| 700 | 1 | |a Valdinoci, Enrico. |e author. |0 (orcid)0000-0001-6222-2272 |1 https://orcid.org/0000-0001-6222-2272 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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