Yu. V. Egorov, M. A. Shubin

Foundations of the Classical Theory of Partial Differential Equations (eBook, PDF)

Redaktion: Egorov, Yu. V.; Shubin, M. A. / Übersetzer: Cooke, R.

• Format: PDF

Produktbeschreibung

The book is a survey-type introductory monograph to the theory of PDEs.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 259
• Erscheinungstermin: 1. Dezember 2013
• Englisch
• ISBN-13: 9783642580932
• Artikelnr.: 53201301

Inhaltsangabe

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.

Rezensionen

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, 1993