Foundations of the Classical Theory of Partial Differential Equations
Published on 17. March 1998
Book
Paperback/Softback
V, 259 pages
978-3-540-63825-4 (ISBN)
Description
The book is a survey-type introductory monograph to the theory of PDEs.
Reviews / Votes
From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... According to the authors ... the work was written for the nonspecialists and physicists but in my opinion almost every specialist will find something new for herself/himself in the text. ..." Acta Scientiarum Mathematicarum, 1993 "... On the whole, a thorough overview on the classical aspects of the topic may be gained from that volume." Monatshefte für Mathematik, 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, 1993More details
Edition
Softcover reprint of the original 1st ed. 1998
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
1 s/w Abbildung
V, 259 p. 1 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
417 gr
ISBN-13
978-3-540-63825-4 (9783540638254)
DOI
10.1007/978-3-642-58093-2
Schweitzer Classification
Other editions
Additional editions
Book
1992
Springer
€90.90
Article exhausted; check different version
Persons
Content
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.