Variational Principles for Nonpotential Operators (Translations of Mathematical Monographs) - Hardcover

American Mathematical Society

Hardcover

ISBN 10: 0821845292 ISBN 13: 9780821845295

Publisher: American Mathematical Society, 1992

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1992
• Language: English
• ISBN 10: 0821845292
• ISBN 13: 9780821845295
• Binding: Hardcover