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...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, United Kingdom ; New York, NY, USA
Cambridge University Press
2023
|
| Series: | Cambridge tracts in mathematics
230 |
| Subjects: | |
| Online Access: | DE-12 DE-634 DE-92 DE-91 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (ix, 157 Seiten) |
| ISBN: | 9781009254625 9781009254649 |
| DOI: | 10.1017/9781009254625 |
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| id | DE-604.BV048579464 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:04:24Z |
| indexdate | 2025-01-10T17:14:04Z |
| 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_facet | DE-12 DE-92 DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (ix, 157 Seiten) |
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| publishDate | 2023 |
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| publishDateSort | 2023 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Edmunds, David E. 1931- (DE-588)129315176 aut Fractional Sobolev spaces and inequalities D.E. Edmunds, University of Sussex, W.D. Evans, Cardiff University Cambridge, United Kingdom ; New York, NY, USA Cambridge University Press 2023 1 Online-Ressource (ix, 157 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 230 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 Sobolev spaces Inequalities (Mathematics) Gebrochene Potenz (DE-588)4480713-2 gnd rswk-swf Laplace-Operator (DE-588)4166772-4 gnd rswk-swf Hardy-Ungleichung (DE-588)4242580-3 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Gebrochene Potenz (DE-588)4480713-2 s Hardy-Ungleichung (DE-588)4242580-3 s Laplace-Operator (DE-588)4166772-4 s Sobolev-Raum (DE-588)4055345-0 s Ungleichung (DE-588)4139098-2 s DE-604 Evans, W. D. 1940- (DE-588)129315184 aut Erscheint auch als Druck-Ausgabe, Hardcover 978-1-009-25463-2 Cambridge tracts in mathematics 230 (DE-604)BV047362617 230 https://doi.org/10.1017/9781009254625 Verlag URL des Erstveröffentlichers Volltext |
| 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_exact_search_txtP | 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 |
| volume_link | (DE-604)BV047362617 |
| work_keys_str_mv | AT edmundsdavide fractionalsobolevspacesandinequalities AT evanswd fractionalsobolevspacesandinequalities |