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Homogenization: Methods and Applications
 
G. A. Chechkin Moscow State University, Moscow, Russia and Narvik University College, Narvik, Norway
A. L. Piatnitski Lebedev Physical Institute, Moscow, Russia and Narvik University College, Narvik, Norway
A. S. Shamaev Institute for Problems in Mechanics, Moscow, Russia and Moscow State University, Moscow, Russia
Homogenization
Hardcover ISBN:  978-0-8218-3873-0
Product Code:  MMONO/234
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4656-7
Product Code:  MMONO/234.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-3873-0
eBook: ISBN:  978-1-4704-4656-7
Product Code:  MMONO/234.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Homogenization
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Homogenization: Methods and Applications
G. A. Chechkin Moscow State University, Moscow, Russia and Narvik University College, Narvik, Norway
A. L. Piatnitski Lebedev Physical Institute, Moscow, Russia and Narvik University College, Narvik, Norway
A. S. Shamaev Institute for Problems in Mechanics, Moscow, Russia and Moscow State University, Moscow, Russia
Hardcover ISBN:  978-0-8218-3873-0
Product Code:  MMONO/234
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4656-7
Product Code:  MMONO/234.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-3873-0
eBook ISBN:  978-1-4704-4656-7
Product Code:  MMONO/234.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 2342007; 234 pp
    MSC: Primary 35;

    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.

  • Table of Contents
     
     
    • Chapters
    • Related topics
    • Homogenization methods
    • Applications of homogenization methods
  • Reviews
     
     
    • This interesting and well-written book is excellently clear and, at the same time, mathematically accurate.

      Mathematical Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2342007; 234 pp
MSC: Primary 35;

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.

  • Chapters
  • Related topics
  • Homogenization methods
  • Applications of homogenization methods
  • This interesting and well-written book is excellently clear and, at the same time, mathematically accurate.

    Mathematical Reviews
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.