Second Order Elliptic Equations and Elliptic Systems
Published on 1. January 1998
Book
Hardback
246 pages
978-0-8218-0970-9 (ISBN)
Description
The first part of this book presents a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations are completely introduced. In the second part, the existence and regularity theory of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. This book is intended for students, research mathematicians, physicists and engineers interested in partial differential equation theories.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Illustrations
bibliography, index
Dimensions
Height: 267 mm
Width: 190 mm
Weight
675 gr
ISBN-13
978-0-8218-0970-9 (9780821809709)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
Part I: L2 theory. Schauder theory. Lp theory. De Giorgi-Nash-Moser estimates. Quasilinear equations of divergence form. Krylov-Safonov estimates. Fully nonlinear elliptic equations. Part II: L2 theory for linear elliptic systems of divergence form. Schauder theory for linear elliptic systems of divergence form. Lp theory for linear elliptic systems of divergence form. Existence of weak solutions of nonlinear elliptic systems. Regularity for weak solutions of nonlinear elliptic systems. Sobolev spaces. Sard's theorem. Proof of the John-Nirenberg theorem. Proof of the Stampacchia interpolation theorem. Proof of the reverse Holder inequality. Bibliographic notes. Bibliograph. Index