The Analysis of Linear Partial Differential Operators II

Differential Operators with Constant Coefficients

Lars Hormander - Collection Classics in Mathematics (CIM)

390 pages, parution le 03/12/2004 (2^eme édition)

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Résumé

Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later, a new series Ergebnisse der Mathematik und ihrer Grenzgebiete, survey reports of recent mathematical research, was added.

Of over 400 books published in these series, many have become recognized classics and remain standard references for their subject. Springer is reissuing a selected few of these highly successful books in a new, inexpensive softcover edition, to make them easily accessible to younger generations of students and researchers.

The Analysis of Linear Partial Differential Operators II

Vol. I of Lars Hormander's 4-volume treatise was an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators. The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One chapter is devoted to the spectral theory of short range perturbations of operators with constant coefficients, and another presents Fourier-Laplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter is a study of the closely related subject of convolution operators.

L'auteur - Lars Hormander

Born on January 24,1931, on the southern coast of Sweden, Lars Hormander did his secondary schooling as well as his undergraduate and doctoral studies in Lund. His principle teacher and adviser at the University of Lund was Marcel Riesz until he returned, then Lars Carding. In 1956 he worked in the USA, at the universities of Chicago, Kansas, Minnesota and New York, before returning to a chair at the University of Stockholm. He remained a frequent visitor to the US, particularly to Stanford and was Professor at the IAS, Princeton from 1964 to 1968. In 1968 he accepted a chair at the University of Lund, Sweden, where, today he is Emeritus Professor.

Hormander's lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators. His book Linear Partial Differential Operators, published 1963 by Springer in the Grundlehren series, was the first major account of this theory. His four volume text The Analysis of Linear Partial Differential Operators, published in the same series 20 years later, illustrates the vast expansion of the subject in that period.

Sommaire

Introduction
Existence and Approximation of Solutions of Differential Equations
Interior Regularity of Solutions of Differential Equations
The Cauchy and Mixed Problems
Differential Operators of Constant Strength
Scattering Theory
Analytic Function Theory and Differential Equations
Convolution Equations
Appendix A: Some Algebraic Lemmas
Bibliography
Index
Index of Notation

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Lars Hormander
Collection	Classics in Mathematics (CIM)
Parution	03/12/2004
Édition	2^eme édition
Nb. de pages	390
Format	15,5 x 23,5
Couverture	Broché
Poids	625g
Intérieur	Noir et Blanc
EAN13	9783540225164