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...

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Bibliographic Details
Main Author:	Egorov, I͡U. V. (I͡Uriĭ Vladimirovich)
Corporate Author:	SpringerLink (Online service)
Other Authors:	Shubin, M. A. (Mikhail Aleksandrovich), 1944-
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer, [1998]
Subjects:	Differential equations, Partial. fonction spéciale. théorie spectrale. théorie dispersion. problème Cauchy. Equation parabolique. Equation hyperbolique. espace Sobolev. problème valeur limite. équation elliptique. distribution. EDP linéaire. EDP. Partiële differentiaalvergelijkingen. Equacoes diferenciais parciais. Équations aux dérivées partielles. Electronic books.
Online Access:	Connect to the full text of this electronic book

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.