Foundations of the Classical Theory of Partial Differential Equations

Author:   Yu.V. Egorov ,  Yu.V. Egorov ,  R. Cooke ,  M.A. Shubin
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of the original 1st ed. 1998
ISBN:  

9783540638254


Pages:   259
Publication Date:   17 March 1998
Format:   Paperback
Availability:   In Print   Availability explained
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Foundations of the Classical Theory of Partial Differential Equations


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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 fur 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.

Full Product Details

Author:   Yu.V. Egorov ,  Yu.V. Egorov ,  R. Cooke ,  M.A. Shubin
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1998
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.860kg
ISBN:  

9783540638254


ISBN 10:   3540638253
Pages:   259
Publication Date:   17 March 1998
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

Reviews

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


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 fA1/4r 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


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 fur 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


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