Erhältlich:
Nicht auf Lager
Buch (Softcover): Fachbuch
Asymptotic Expansions and Summability
Application to Partial Differential Equations
Produkt bewerten
Verlag:
Springer Verlag Unsere-Artikel-Nr.: 2RRDQPK
EAN: 9783031590931
Erhältlich:
Nicht auf Lager
Zustellung: Mo, 15.06.2026
Versand: Kostenlos
-11.0 %
CHF 96.–
CHF 85.46
Beschreibung
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.
Spezifikationen
Sprache
- Englisch
Autor
- Pascal Remy
Kollektion
- Lecture Notes in Mathematics
Erscheinungsjahr
- 2024
Erscheinungsland
- Schweiz
Format
- Buch (Softcover)
Anzahl Seiten
- 260