Symmetrization And Applications
by
S Kesavan
Book Details
Format
Hardback or Cased Book
Book Series
Series In Analysis
ISBN-10
981256733X
ISBN-13
9789812567338
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
SG
Country of Publication
GB
Publication Date
Apr 26th, 2006
Print length
160 Pages
Weight
428 grams
Dimensions
23.00 x 16.30 x 1.60 cms
Product Classification:
Differential & Riemannian geometry
Ksh 12,400.00
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The study of isoperimetric inequalities involves an interplay of analysis, geometry and the theory of partial differential equations. This book gives an introduction to the theory of Schwarz symmetrization and studies some of its applications. It offers a modern treatment of the subject and includes several results proved.
The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open.One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry is involved, is Schwarz symmetrization, which is also known as the spherically symmetric and decreasing rearrangement of functions. The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications.The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently. Effort has been made to keep the exposition as simple and self-contained as possible. A knowledge of the existence theory of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical maturity at the graduate level, there are no other prerequisites.
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