Hormander, Lars

The Analysis of Linear Partial Differential Operators III : Pseudo-Differential Operators - 2nd ed. - Heidelberg Berlin 2007 - viii, 525p. - Classics in Mathematics .

Includes Bibliography (505-522) and Indexes

Second Order Elliptic Operators
Pseudo-Differential Operators
Elliptic Operators on a Compact Manifold Without Boundary
Boundary Problems for Elliptic Differential Operators
Symplectic Geometry
Some Classes of (Micro-)Hypoelliptic Operators
The Strictly Hyperbolic Cauchy Problem
The Mixed Dirichlet-Cauchy Problem for Second Order Operators

From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987

9783540499374 (PB)


Analysis
Calculus
Partial Differential equations

517.956 / HOR
The Institute of Mathematical Sciences, Chennai, India

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