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Variational Principles for Nonpotential Operators
 
Front Cover for Variational Principles for Nonpotential Operators
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Hardcover ISBN: 978-0-8218-4529-5
Product Code: MMONO/77
List Price: $114.00
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AMS Member Price: $91.20
Electronic ISBN: 978-1-4704-4491-4
Product Code: MMONO/77.E
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
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Front Cover for Variational Principles for Nonpotential Operators
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Variational Principles for Nonpotential Operators
Available Formats:
Hardcover ISBN:  978-0-8218-4529-5
Product Code:  MMONO/77
List Price: $114.00
MAA Member Price: $102.60
AMS Member Price: $91.20
Electronic ISBN:  978-1-4704-4491-4
Product Code:  MMONO/77.E
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $171.00
MAA Member Price: $153.90
AMS Member Price: $136.80
  • 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
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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
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