Fractional Sobolev spaces and inequalities:
The fractional Sobolev spaces studied in the book were introduced in the 1950s by Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical Sobolev spaces. They provide a natural home for solutions of a vast, and rapidly growing, number of questions involving differen...
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY, USA
Cambridge University Press
2023
|
| Schriftenreihe: | Cambridge tracts in mathematics
230 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781009254625 https://doi.org/10.1017/9781009254625 https://doi.org/10.1017/9781009254625 https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=7100621 https://doi.org/10.1017/9781009254625 |
| Zusammenfassung: | The fractional Sobolev spaces studied in the book were introduced in the 1950s by Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical Sobolev spaces. They provide a natural home for solutions of a vast, and rapidly growing, number of questions involving differential equations and non-local effects, ranging from financial modelling to ultra-relativistic quantum mechanics, emphasising the need to be familiar with their fundamental properties and associated techniques. Following an account of the most basic properties of the fractional spaces, two celebrated inequalities, those of Hardy and Rellich, are discussed, first in classical format (for which a survey of the very extensive known results is given), and then in fractional versions. This book will be an Ideal resource for researchers and graduate students working on differential operators and boundary value problems |
| Umfang: | 1 Online-Ressource (ix, 157 Seiten) |
| ISBN: | 9781009254625 9781009254649 |
| DOI: | 10.1017/9781009254625 |
Internformat
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| 520 | |a The fractional Sobolev spaces studied in the book were introduced in the 1950s by Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical Sobolev spaces. They provide a natural home for solutions of a vast, and rapidly growing, number of questions involving differential equations and non-local effects, ranging from financial modelling to ultra-relativistic quantum mechanics, emphasising the need to be familiar with their fundamental properties and associated techniques. Following an account of the most basic properties of the fractional spaces, two celebrated inequalities, those of Hardy and Rellich, are discussed, first in classical format (for which a survey of the very extensive known results is given), and then in fractional versions. This book will be an Ideal resource for researchers and graduate students working on differential operators and boundary value problems | ||
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| id | DE-604.BV048579464 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-11T19:20:23Z |
| institution | BVB |
| isbn | 9781009254625 9781009254649 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033955371 |
| oclc_num | 1352874750 |
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| owner | DE-12 DE-92 DE-91 DE-BY-TUM |
| owner_facet | DE-12 DE-92 DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (ix, 157 Seiten) |
| psigel | ZDB-20-CBO ZDB-30-PQE ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO BTU_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-30-PQE TUM_PDA_PQE_Kauf_2024 |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spellingShingle | Edmunds, David E. 1931- Evans, W. D. 1940- Fractional Sobolev spaces and inequalities Cambridge tracts in mathematics Sobolev spaces Inequalities (Mathematics) Gebrochene Potenz (DE-588)4480713-2 gnd Laplace-Operator (DE-588)4166772-4 gnd Hardy-Ungleichung (DE-588)4242580-3 gnd Ungleichung (DE-588)4139098-2 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| subject_GND | (DE-588)4480713-2 (DE-588)4166772-4 (DE-588)4242580-3 (DE-588)4139098-2 (DE-588)4055345-0 |
| title | Fractional Sobolev spaces and inequalities |
| title_auth | Fractional Sobolev spaces and inequalities |
| title_exact_search | Fractional Sobolev spaces and inequalities |
| title_full | Fractional Sobolev spaces and inequalities D.E. Edmunds, University of Sussex, W.D. Evans, Cardiff University |
| title_fullStr | Fractional Sobolev spaces and inequalities D.E. Edmunds, University of Sussex, W.D. Evans, Cardiff University |
| title_full_unstemmed | Fractional Sobolev spaces and inequalities D.E. Edmunds, University of Sussex, W.D. Evans, Cardiff University |
| title_short | Fractional Sobolev spaces and inequalities |
| title_sort | fractional sobolev spaces and inequalities |
| topic | Sobolev spaces Inequalities (Mathematics) Gebrochene Potenz (DE-588)4480713-2 gnd Laplace-Operator (DE-588)4166772-4 gnd Hardy-Ungleichung (DE-588)4242580-3 gnd Ungleichung (DE-588)4139098-2 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| topic_facet | Sobolev spaces Inequalities (Mathematics) Gebrochene Potenz Laplace-Operator Hardy-Ungleichung Ungleichung Sobolev-Raum |
| url | https://doi.org/10.1017/9781009254625 |
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