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Nonlinear Functional Analysis and Its Applications

II/ A: Linear Monotone Operators

  • Textbook
  • © 1990

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About this book

This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.

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Keywords

Table of contents (7 chapters)

Authors and Affiliations

  • Max-Planck-Institut fuer Mathematik in den Naturwissenschaften, Leipzig, Germany

    Eberhard Zeidler

Bibliographic Information

  • Book Title: Nonlinear Functional Analysis and Its Applications

  • Book Subtitle: II/ A: Linear Monotone Operators

  • Authors: Eberhard Zeidler

  • DOI: https://doi.org/10.1007/978-1-4612-0985-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1990

  • Hardcover ISBN: 978-0-387-96802-5Published: 11 December 1989

  • Softcover ISBN: 978-1-4612-6971-7Published: 04 October 2012

  • eBook ISBN: 978-1-4612-0985-0Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVIII, 467

  • Additional Information: Original German edition published in 3 volumes by Teubner Verlag, Leipzig, 1975, 1976, 1977

  • Topics: Analysis

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