Fourier analysis and partial differential equations /
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| Main Author: | |
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| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
New York :
Cambridge University Press,
2000.
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| Series: | Cambridge studies in advanced mathematics
70. |
| Subjects: |
Table of Contents:
- Pt. 1. Fourier Series and Periodic Distributions. 1. Preliminaries. 2. Fourier Series: Basic Theory. 3. Periodic Distributions and Sobolev Spaces
- Pt. 2. Applications to Partial Differential Equations. 4. Linear Equations. 5. Nonlinear Evolution Equations. 6. The Korteweg-de Vries Equation
- Pt. 3. Some Nonperiodic Problems. 7. Distributions, Fourier Transform and Linear Equations. 8. KdV, BO and Friends. App. A. Tools from the Theory of ODEs
- App. B. Commutator Estimates.