Foundations of the Classical Theory of Partial Differential Equations
From the reviews of the first printing, published as volume 30 of the Encyclopaedia of Mathematical Sciences: "... I think the volume is a great success and an excellent preparation for future volumes in the series. ... the introductory style of Egorov and Shubin is .. attractive. ... a welcome...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998, 1998
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| Edition: | 1st ed. 1998 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Basic Concepts
- 1. Basic Definitions and Examples
- 2. The Cauchy-Kovalevskaya Theorem and Its Generalizations
- 3. Classification of Linear Differential Equations. Reduction to Canonical Form and Characteristics
- 2. The Classical Theory
- 1. Distributions and Equations with Constant Coefficients
- 2. Elliptic Equations and Boundary-Value Problems
- 3. Sobolev Spaces and Generalized Solutions of Boundary-Value Problems
- 4. Hyperbolic Equations
- 5. Parabolic Equations
- 6. General Evolution Equations
- 7. Exterior Boundary-Value Problems and Scattering Theory
- 8. Spectral Theory of One-Dimensional Differential Operators
- 9. Special Functions
- References
- Author Index