Fully Nonlinear Elliptic Equations (Paperback)

Xavier Cabre

ISBN 10: 0821804375 / ISBN 13: 9780821804377

Published by American Mathematical Society, Providence, 1995

About this Item

Paperback. This book demonstrates the development of the regularity theory of solutions of fully nonlinear elliptic equations. Caffarelli and Cabre offer a detailed presentation of all techniques needed to extend the classic Schauder and Calderon-Zygmund regularity theory for linear elliptic equations to a fully nonlinear context. The authors present key ideas and prove all results needed for the theory of viscosity solutions of nonlinear equations, and regularity theory for convex fully nonlinear equations and for fully nonlinear equations with variable coefficients. This book is suitable as a text for graduate courses in nonlinear elliptic partial differential equations. This book provides a self-contained development of the regularity theory for solutions of fully nonlinear elliptic equations. It is a text suitable for graduate courses in nonlinear elliptic partial differential equations. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780821804377

Bibliographic Details

• Title: Fully Nonlinear Elliptic Equations (Paperback)
• Publisher: American Mathematical Society, Providence
• Publication Date: 1995
• Language: English
• ISBN 10: 0821804375
• ISBN 13: 9780821804377
• Binding: Paperback
• Condition: new

About this title

Synopsis

This book provides a self-contained development of the regularity theory for solutions of fully nonlinear elliptic equations. Caffarelli and Cabré offer a detailed presentation of all techniques needed to extend the classical Schauder and Calderón-Zygmund regularity theories for linear elliptic equations to the fully nonlinear context. <P>The authors present the key ideas and prove all the results needed for the regularity theory of viscosity solutions of fully nonlinear equations. The book contains the study of convex fully nonlinear equations and fully nonlinear equations with variable coefficients.

Review

"The book marks an important stage in the theory of nonlinear elliptic problems. Its timely appearance will surely stimulate fresh attacks on the many difficult and interesting questions which remain." ---- Bulletin of the LMS

"Interesting and well written ... contains material selected with good taste ... likely to be highly appreciated both by researchers and advanced students." ---- Mathematical Reviews

"Well written, with the arguments clearly presented. There are helpful remarks throughout the book, and at several points the authors give the main ideas of the more technical proofs before proceeding to the details ... will certainly be of interest to researchers and graduate students in the field of nonlinear elliptic equations." ---- Bulletin of the AMS