Fourier analysis and partial differential equations:
This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area o...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2001
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
70 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrödinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xi, 411 Seiten) |
| ISBN: | 9780511623745 |
| DOI: | 10.1017/CBO9780511623745 |
Internformat
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| 245 | 1 | 0 | |a Fourier analysis and partial differential equations |c Rafael José Iorio, Jr., Valéria de Magalhães Iorio |
| 246 | 1 | 3 | |a Fourier Analysis & Partial Differential Equations |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2001 | |
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 70 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrödinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case | ||
| 650 | 4 | |a Fourier analysis | |
| 650 | 4 | |a Differential equations, Partial | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Iorio, Rafael José 1947- |
| author_GND | (DE-588)1146315589 (DE-588)1159322872 |
| author_facet | Iorio, Rafael José 1947- |
| author_role | aut |
| author_sort | Iorio, Rafael José 1947- |
| author_variant | r j i rj rji |
| building | Verbundindex |
| bvnumber | BV043940685 |
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| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511623745 (OCoLC)967678916 (DE-599)BVBBV043940685 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511623745 |
| format | Electronic eBook |
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| id | DE-604.BV043940685 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9780511623745 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349655 |
| oclc_num | 967678916 |
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| owner | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| physical | 1 online resource (xi, 411 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Iorio, Rafael José 1947- Verfasser (DE-588)1146315589 aut Fourier analysis and partial differential equations Rafael José Iorio, Jr., Valéria de Magalhães Iorio Fourier Analysis & Partial Differential Equations Cambridge Cambridge University Press 2001 1 online resource (xi, 411 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 70 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrödinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case Fourier analysis Differential equations, Partial Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Harmonische Analyse (DE-588)4023453-8 s DE-604 Iorio, Valéria de Magalhães Sonstige (DE-588)1159322872 oth Erscheint auch als Druck-Ausgabe 978-0-521-62116-8 Erscheint auch als Druck-Ausgabe 978-0-521-62909-6 Cambridge studies in advanced mathematics 70 (DE-604)BV044781283 70 https://doi.org/10.1017/CBO9780511623745 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Iorio, Rafael José 1947- Fourier analysis and partial differential equations Cambridge studies in advanced mathematics Fourier analysis Differential equations, Partial Harmonische Analyse (DE-588)4023453-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4044779-0 |
| title | Fourier analysis and partial differential equations |
| title_alt | Fourier Analysis & Partial Differential Equations |
| title_auth | Fourier analysis and partial differential equations |
| title_exact_search | Fourier analysis and partial differential equations |
| title_full | Fourier analysis and partial differential equations Rafael José Iorio, Jr., Valéria de Magalhães Iorio |
| title_fullStr | Fourier analysis and partial differential equations Rafael José Iorio, Jr., Valéria de Magalhães Iorio |
| title_full_unstemmed | Fourier analysis and partial differential equations Rafael José Iorio, Jr., Valéria de Magalhães Iorio |
| title_short | Fourier analysis and partial differential equations |
| title_sort | fourier analysis and partial differential equations |
| topic | Fourier analysis Differential equations, Partial Harmonische Analyse (DE-588)4023453-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Fourier analysis Differential equations, Partial Harmonische Analyse Partielle Differentialgleichung |
| url | https://doi.org/10.1017/CBO9780511623745 |
| volume_link | (DE-604)BV044781283 |
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