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Standort: Bereichsbibl. Mathematik+ /
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| Verfasst von: | Remy, Pascal [VerfasserIn]  |
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| Titel: | Asymptotic expansions and summability |
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| Titelzusatz: | application to partial differential equations |
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| Institutionen: | Springer Nature Switzerland AG [Verlag] |
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| Verf.angabe: | Pascal Remy |
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| Verlagsort: | Cham |
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| Verlag: | Springer |
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| E-Jahr: | 2024 |
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| Jahr: | [2024] |
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| Umfang: | xiii, 244 Seiten |
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| Illustrationen: | Diagramme |
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| Gesamttitel/Reihe: | Lecture notes in mathematics ; volume 2351 |
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| Fussnoten: | Literaturverzeichnis: Seite 237-242 |
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| ISBN: | 978-3-031-59093-1 |
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| | 978-3-031-59095-5 |
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| Abstract: | This book provides a comprehensive exploration of the theory of summability of formal power series with analytic coefficients at the origin of Cn, aiming to apply it to formal solutions of partial differential equations (PDEs). It offers three characterizations of summability and discusses their applications to PDEs, which play a pivotal role in understanding physical, chemical, biological, and ecological phenomena. Determining exact solutions and analyzing properties such as dynamic and asymptotic behavior are major challenges in this field. The book compares various summability approaches and presents simple applications to PDEs, introducing theoretical tools such as Nagumo norms, Newton polygon, and combinatorial methods. Additionally, it presents moment PDEs, offering a broad class of functional equations including classical, fractional, and q-difference equations. With detailed examples and references, the book caters to readers familiar with the topics seeking proofs or deeper understanding, as well as newcomers looking for comprehensive tools to grasp the subject matter. Whether readers are seeking precise references or aiming to deepen their knowledge, this book provides the necessary tools to understand the complexities of summability theory and its applications to PDEs. |
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| URL: | zbMATH: https://zbmath.org/7863726 |
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| Schlagwörter: | (s)Summierbarkeit / (s)Potenzreihe / (s)Partielle Differentialgleichung |
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| Sprache: | eng |
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| Bibliogr. Hinweis: | Erscheint auch als : Online-Ausgabe: Remy, Pascal: Asymptotic Expansions and Summability. - 1st ed. 2024.. - Cham : Springer Nature Switzerland, 2024. - 1 Online-Ressource(XIII, 246 p. 28 illus.) |
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| K10plus-PPN: | 1896010768 |
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| Verknüpfungen: | → Übergeordnete Aufnahme |
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978-3-031-59093-1,978-3-031-59095-5
Asymptotic expansions and summability / Remy, Pascal [VerfasserIn]; [2024]
69237342