Nonlinear theory of pseudodifferential equations on a half-line:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2004
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | North-Holland mathematics studies
194 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is the first attempt to develop systematically a general theory of the initial-boundary value problems for nonlinear evolution equations with pseudodifferential operators Ku on a half-line or on a segment. We study traditionally important problems, such as local and global existence of solutions and their properties, in particular much attention is drawn to the asymptotic behavior of solutions for large time. Up to now the theory of nonlinear initial-boundary value problems with a general pseudodifferential operator has not been well developed due to its difficulty. There are many open natural questions. Firstly how many boundary data should we pose on the initial-boundary value problems for its correct solvability? As far as we know there are few results in the case of nonlinear nonlocal equations. The methods developed in this book are applicable to a wide class of dispersive and dissipative nonlinear equations, both local and nonlocal. For the first time the definition of pseudodifferential operator on a half-line and a segment is done A wide class of nonlinear nonlocal and local equations is considered Developed theory is general and applicable to different equations The book is written clearly, many examples are considered Asymptotic formulas can be used for numerical computations by engineers and physicists The authors are recognized experts in the nonlinear wave phenomena Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (xix, 340 p.) |
| ISBN: | 9780444515698 0444515690 |
Internformat
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| 245 | 1 | 0 | |a Nonlinear theory of pseudodifferential equations on a half-line |c Nakao Hayashi and Elena Kaikina |
| 250 | |a 1st ed | ||
| 264 | 1 | |a Amsterdam |b Elsevier |c 2004 | |
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| 490 | 0 | |a North-Holland mathematics studies |v 194 | |
| 500 | |a This book is the first attempt to develop systematically a general theory of the initial-boundary value problems for nonlinear evolution equations with pseudodifferential operators Ku on a half-line or on a segment. We study traditionally important problems, such as local and global existence of solutions and their properties, in particular much attention is drawn to the asymptotic behavior of solutions for large time. Up to now the theory of nonlinear initial-boundary value problems with a general pseudodifferential operator has not been well developed due to its difficulty. There are many open natural questions. Firstly how many boundary data should we pose on the initial-boundary value problems for its correct solvability? As far as we know there are few results in the case of nonlinear nonlocal equations. The methods developed in this book are applicable to a wide class of dispersive and dissipative nonlinear equations, both local and nonlocal. For the first time the definition of pseudodifferential operator on a half-line and a segment is done A wide class of nonlinear nonlocal and local equations is considered Developed theory is general and applicable to different equations The book is written clearly, many examples are considered Asymptotic formulas can be used for numerical computations by engineers and physicists The authors are recognized experts in the nonlinear wave phenomena | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 7 | |a Evolution equations, Nonlinear |2 fast | |
| 650 | 7 | |a Pseudodifferential operators |2 fast | |
| 650 | 4 | |a Evolution equations, Nonlinear | |
| 650 | 4 | |a Pseudodifferential operators | |
| 700 | 1 | |a Kaikina, Elena |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Hayashi, Nakao |
| author_facet | Hayashi, Nakao |
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| author_sort | Hayashi, Nakao |
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| building | Verbundindex |
| bvnumber | BV042317342 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| id | DE-604.BV042317342 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444515698 0444515690 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754332 |
| oclc_num | 162580103 |
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| physical | 1 Online-Ressource (xix, 340 p.) |
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| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Elsevier |
| record_format | marc |
| series2 | North-Holland mathematics studies |
| spelling | Hayashi, Nakao Verfasser aut Nonlinear theory of pseudodifferential equations on a half-line Nakao Hayashi and Elena Kaikina 1st ed Amsterdam Elsevier 2004 1 Online-Ressource (xix, 340 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 194 This book is the first attempt to develop systematically a general theory of the initial-boundary value problems for nonlinear evolution equations with pseudodifferential operators Ku on a half-line or on a segment. We study traditionally important problems, such as local and global existence of solutions and their properties, in particular much attention is drawn to the asymptotic behavior of solutions for large time. Up to now the theory of nonlinear initial-boundary value problems with a general pseudodifferential operator has not been well developed due to its difficulty. There are many open natural questions. Firstly how many boundary data should we pose on the initial-boundary value problems for its correct solvability? As far as we know there are few results in the case of nonlinear nonlocal equations. The methods developed in this book are applicable to a wide class of dispersive and dissipative nonlinear equations, both local and nonlocal. For the first time the definition of pseudodifferential operator on a half-line and a segment is done A wide class of nonlinear nonlocal and local equations is considered Developed theory is general and applicable to different equations The book is written clearly, many examples are considered Asymptotic formulas can be used for numerical computations by engineers and physicists The authors are recognized experts in the nonlinear wave phenomena Includes bibliographical references and index Evolution equations, Nonlinear fast Pseudodifferential operators fast Evolution equations, Nonlinear Pseudodifferential operators Kaikina, Elena Sonstige oth http://www.sciencedirect.com/science/book/9780444515698 Verlag Volltext |
| spellingShingle | Hayashi, Nakao Nonlinear theory of pseudodifferential equations on a half-line Evolution equations, Nonlinear fast Pseudodifferential operators fast Evolution equations, Nonlinear Pseudodifferential operators |
| title | Nonlinear theory of pseudodifferential equations on a half-line |
| title_auth | Nonlinear theory of pseudodifferential equations on a half-line |
| title_exact_search | Nonlinear theory of pseudodifferential equations on a half-line |
| title_full | Nonlinear theory of pseudodifferential equations on a half-line Nakao Hayashi and Elena Kaikina |
| title_fullStr | Nonlinear theory of pseudodifferential equations on a half-line Nakao Hayashi and Elena Kaikina |
| title_full_unstemmed | Nonlinear theory of pseudodifferential equations on a half-line Nakao Hayashi and Elena Kaikina |
| title_short | Nonlinear theory of pseudodifferential equations on a half-line |
| title_sort | nonlinear theory of pseudodifferential equations on a half line |
| topic | Evolution equations, Nonlinear fast Pseudodifferential operators fast Evolution equations, Nonlinear Pseudodifferential operators |
| topic_facet | Evolution equations, Nonlinear Pseudodifferential operators |
| url | http://www.sciencedirect.com/science/book/9780444515698 |
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