The study of shape optimization problems is a very wide field, both
classical, as the isoperimetric problem and Newton problem of the
best aerodynamical shape show, and modern, for all the recent
results obtained in the last two, three decades. The fascinating
feature is that the competing objects are shapes, i.e. domains of
Rn, instead of functions, as usually occurs in problems of calculus
of variations. This constraint often produces additional
difficulties that lead to a lack of existence of a solution and the
introduction of suitable relaxed formulations of the problem.
However, in a few cases an optimal solution exists, due to the
special form of the cost functional and to the geometrical
restriction on the class of competing domains. This volume collects
the lecture notes of two courses given in the academic year 2000/01
by the authors at the University of Pisa and at the Scuola Normale
Superiore respectively. The courses were mainly addressed to Ph. D.
students and required a background in the topics in functional
analysis that are usually taught in undergraduate courses.
General
Imprint: |
Scuola Normale Superiore
|
Country of origin: |
Italy |
Series: |
Publications of the Scuola Normale Superiore |
Release date: |
October 2002 |
First published: |
2002 |
Authors: |
Dorin Bucur
• Giuseppe Buttazzo
|
Dimensions: |
240 x 170 x 15mm (L x W x T) |
Format: |
Paperback
|
Pages: |
217 |
ISBN-13: |
978-88-7642-297-3 |
Categories: |
Books
|
LSN: |
88-7642-297-8 |
Barcode: |
9788876422973 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!