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Variational Principles for Nonpotential Operators
V. M. Filippov

Translations of Mathematical Monographs
1989; 239 pp; hardcover
Volume: 77
ISBN-10: 0-8218-4529-2
ISBN-13: 978-0-8218-4529-5
List Price: US$107
Member Price: US$85.60
Order Code: MMONO/77
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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

  • 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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