Foundations of the Classical Theory of Partial Differential Equations
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ISBN-13:
9783540638254
Veröffentl:
1998
Einband:
Paperback
Erscheinungsdatum:
17.03.1998
Seiten:
272
Autor:
Yu. V. Egorov
Gewicht:
417 g
Format:
235x155x15 mm
Sprache:
Englisch
Beschreibung:
From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993
The book is a survey-type introductory monograph to the theory of PDEs.
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.
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