Spectral Theory and Nonlinear Functional Analysis

This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators. Appealing to a broad audience, it contains many important contributions to linear algebra, linear functional analysis, nonlinear functional analysis, and topology. The author gives several applications of the abstract theory to reaction diffusion equations and systems. The results presented cover a thirty-year period and cut across a variety of mathematical fields.

List of contents

Introduction. Bifurcation from Simple Eigenvalues. First General Bifurcation Results. The Algebraic Multiplicity. Fundamental Properties of the Multiplicity. Global Bifurcation Theory. Some Applications. Bibliography.

About the author

Julian Lopez-Gomez

Summary

Addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators.

Product details

• Authors: Julian Lopez-Gomez, Julián López-Gómez, Lopez-Gomez Julian
• Assisted by: Haim Brezis (Editor of the series), Ronald G. Douglas (Editor of the series), Alan Jeffrey (Editor of the series)
• Publisher: Taylor and Francis
• Languages: English
• Product format: Paperback / Softback
• Released: 28.03.2001
• EAN: 9781584882497
• ISBN: 978-1-58488-249-7
• No. of pages: 278
• Weight: 520 g
• Illustrations: Raster,schwarz-weiss
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / Functional Analysis, Functional analysis & transforms, Functional analysis and transforms