2007; 234 pp; Hardcover
MSC: Primary 35;
Print ISBN: 978-0-8218-3873-0
Product Code: MMONO/234
List Price: $103.00
AMS Member Price: $82.40
MAA Member Price: $92.70
Electronic ISBN: 978-1-4704-4656-7
Product Code: MMONO/234.E
List Price: $97.00
AMS Member Price: $77.60
MAA Member Price: $87.30
Supplemental Materials
Homogenization: Methods and Applications
Share this pageG. A. Chechkin; A. L. Piatnitski; A. S. Shamaev
Homogenization is a collection of powerful techniques in partial
differential equations that are used to study differential operators
with rapidly oscillating coefficients, boundary value problems with
rapidly varying boundary conditions, equations in perforated domains,
equations with random coefficients, and other objects of theoretical
and practical interest.
The book focuses on various aspects of homogenization theory and related
topics. It comprises classical results and methods of homogenization theory,
as well as modern subjects and techniques developed in the last decade.
Special attention is paid to averaging of random parabolic equations with
lower order terms, to homogenization of singular structures and measures,
and to problems with rapidly alternating boundary conditions.
The book contains many exercises, which help the reader to better
understand the material presented. All the main results are
illustrated with a large number of examples, ranging from very simple
to rather advanced.
Readership
Graduate students and research mathematicians interested in partial differential equations.
Reviews & Endorsements
This interesting and well-written book is excellently clear and, at the same time, mathematically accurate.
-- Mathematical Reviews