Asymptotic Expansions and Summability Application to Partial Differential Equations /
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 app...
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| Formato: | Electrónico eBook |
| Lenguaje: | inglés |
| Publicado: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Edición: | 1st ed. 2024. |
| Colección: | Lecture Notes in Mathematics,
2351 |
| Materias: | |
| Acceso en línea: | https://doi.org/10.1007/978-3-031-59094-8 |
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Tabla de Contenidos:
- - Part I Asymptotic expansions
- Taylor expansions
- Gevrey formal power series
- Gevrey asymptotics
- Part II Summability
- k-summability: definition and first algebraic properties
- First characterization of the k-summability: the successive derivatives
- Second characterization of the k-summability: the Borel-Laplace method
- Part III Moment summability
- Moment functions and moment operators
- Moment-Borel-Laplace method and summability
- Linear moment partial differential equations.