Semigroups of Linear Operators and Applications to Partial Differential Equations
By addebook • Oct 3rd, 2008 • Category: Mathematics •
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Semigroups of Linear Operators and Applications to Partial Differential Equations (Applied Mathematical Sciences)
Semigroups of Linear Operators and Applications to Partial Differential Equations (Applied Mathematical Sciences)
By Amnon Pazy
Publisher: Springer
Number Of Pages: 279
Publication Date: 1992-02-21
ISBN-10 / ASIN: 0387908455
ISBN-13 / EAN: 9780387908458
Binding: Hardcover
From the reviews: “Since E. Hille and K. Yoshida established the characterization of generators of C0 semigroups in the 1940s, semigroups of linear operators and its neighboring areas have developed into a beautiful abstract theory. Moreover, the fact that mathematically this abstract theory has many direct and important applications in partial differential equations enhances its importance as a necessary discipline in both functional analysis and differential equations. In my opinion Pazy has done an outstanding job in presenting both the abstract theory and basic applications in a clear and interesting manner. The choice and order of the material, the clarity of the proofs, and the overall presentation make this an excellent place for both researchers and students to learn about C0 semigroups.” #Bulletin Applied Mathematical Sciences 4/85#1 “In spite of the other monographs on the subject, the reviewer can recommend that of Pazy as being particularly written, with a bias noticeably different from that of the other volumes. Pazy’s decision to give a connected account of the applications to partial differential equations in the last two chapters was a particularly happy one, since it enables one to see what the theory can achieve much better than would the insertion of occasional examples. The chapters achieve a very nice balance between being so easy as to appear disappointing, and so sophisticated that they are incomprehensible except to the expert.” #Bulletin of the London Mathematical Society#2
Summary: The content is optimal, the printing is poor
Rating: 4
Although the book is a compilation of class notes, it is very well written, and suitable for the level of a second or third year graduate student. The only needed background is strong foundation on functional analysis. The author explain very well how semigroups become the state of the art for applied mathematicians.
On the other side, the printing of the book is very poor, the letters actually tend to disapear in several pages and I’m not the only that went thru this.
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