Partial Differential Equations I Basic Theory /
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spa...
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| Format: | Electronisk eBog |
| Sprog: | engelsk |
| Udgivet: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Udgivelse: | 3rd ed. 2023. |
| Serier: | Applied Mathematical Sciences,
115 |
| Fag: | |
| Online adgang: | https://doi.org/10.1007/978-3-031-33859-5 |
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Indholdsfortegnelse:
- Contents of Volumes II and III
- Preface
- 1 Basic Theory of ODE and Vector Fields
- 2 The Laplace Equation and Wave Equation
- 3 Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE
- 4 Sobolev Spaces
- 5 Linear Elliptic Equation
- 6 Linear Evolution Equations
- A Outline of Functional Analysis
- B Manifolds, Vector Bundles, and Lie Groups
- Index. .