Dontchev / Rockafellar Implicit Functions and Solution Mappings

A View from Variational Analysis
2. Auflage 2014
ISBN: 978-1-4939-1037-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 466 Seiten, eBook

Reihe: Springer Series in Operations Research and Financial Engineering

The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Dontchev, Asen L.

Rockafellar, R. Tyrrell

Inhaltsverzeichnis

Introduction and equation-solving background.- Solution mappings for variational problems.- Set-valued analysis of solution mappings.- Regularity properties through generalized derivatives.- Metric regularity in infinite dimensions.- Applications in numerical variational analysis.

Über Autor(innen)

Asen L. Dontchev is a Professor at the Department of Mathematics at the University of Michigan. R. Tyrrell Rockafellar is a Professor at the Department of Mathematics at the University of Washington and at the Department of Industrial and Systems Engineering at the University of Florida.