Pseudo-differential operators
著者
書誌事項
Pseudo-differential operators
（Die Grundlehren der mathematischen Wissenschaften, 274 . The analysis of linear partial differential operators / Lars Hörmander ; 3）
Springer-Verlag, 1994
Corr. 2nd print
- : gw
- : us
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注記
Expanded version of the author's 1 vol. work: Linear partial differential operators
Bibliography: p. [505]-522
Includes index
内容説明・目次
内容説明
From the reviews: These two volumes (III & IV) complete L. Hoermander'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 - Bull, AMS 16,1 (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 - ZBfM 612 (1987).
目次
Contents: 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.- Appendix B: Some Spaces of Distributions.- Appendix C: Some Tools from Differential Geometry.- Bibliography.- Index.- Index of Notation.
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