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Variational Principles for Nonpotential Operators
 
Variational Principles for Nonpotential Operators
Hardcover ISBN:  978-0-8218-4529-5
Product Code:  MMONO/77
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4491-4
Product Code:  MMONO/77.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4529-5
eBook: ISBN:  978-1-4704-4491-4
Product Code:  MMONO/77.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Variational Principles for Nonpotential Operators
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Variational Principles for Nonpotential Operators
Hardcover ISBN:  978-0-8218-4529-5
Product Code:  MMONO/77
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4491-4
Product Code:  MMONO/77.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4529-5
eBook ISBN:  978-1-4704-4491-4
Product Code:  MMONO/77.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: 771989; 239 pp
    MSC: Primary 47; Secondary 35; 49;

    This book develops a variational method for solving linear equations with \(B\)-symmetric and \(B\)-positive operators and generalizes the method to nonlinear equations with nonpotential operators. The author carries out a constructive extension of the variational method to “nonvariational” equations (including parabolic equations) in classes of functionals which differ from the Euler-Lagrange functionals. In this connection, some new functions spaces are considered. Intended for mathematicians working in the areas of functional analysis and differential equations, this book would also prove useful for researchers in other areas and students in advanced courses who use variational methods in solving linear and nonlinear boundary value problems in continuum mechanics and theoretical physics.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Variational problems for linear equations with $B$-symmetric and $B$-positive operators
    • Classes of functionals and function spaces
    • Construction and investigation of variational principles for linear boundary value problems
    • Variational principles for nonlinear equations
  • 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: 771989; 239 pp
MSC: Primary 47; Secondary 35; 49;

This book develops a variational method for solving linear equations with \(B\)-symmetric and \(B\)-positive operators and generalizes the method to nonlinear equations with nonpotential operators. The author carries out a constructive extension of the variational method to “nonvariational” equations (including parabolic equations) in classes of functionals which differ from the Euler-Lagrange functionals. In this connection, some new functions spaces are considered. Intended for mathematicians working in the areas of functional analysis and differential equations, this book would also prove useful for researchers in other areas and students in advanced courses who use variational methods in solving linear and nonlinear boundary value problems in continuum mechanics and theoretical physics.

  • Chapters
  • Introduction
  • Variational problems for linear equations with $B$-symmetric and $B$-positive operators
  • Classes of functionals and function spaces
  • Construction and investigation of variational principles for linear boundary value problems
  • Variational principles for nonlinear equations
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.