Classics in Mathematics

Elliptic Partial Differential Equations of Second Order

Authors: Gilbarg, David, Trudinger, Neil S.

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About this book

From the reviews:
"This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student. Although the material has been developed from lectures at Stanford, it has developed into an almost systematic coverage that is much longer than could be covered in a year's lectures". Newsletter, New Zealand Mathematical Society, 1985
"Primarily addressed to graduate students this elegant book is accessible and useful to a broad spectrum of applied mathematicians". Revue Roumaine de Mathématiques Pures et Appliquées,1985

About the authors

Biography of David Gilbarg

David Gilbarg was born in New York in 1918, and was educated there through udergraduate school. He received his Ph.D. degree at Indiana University in 1941. His work in fluid dynamics during the war years motivated much of his later research on flows with free boundaries. He was on the Mathematics faculty at Indiana University from 1946 to 1957 and at Stanford University from 1957 on. His principal interests and contributions have been in mathematical fluid dynamics and the theory of elliptic partial differential equations.

Biography of Neil S. Trudinger

Neil S. Trudinger was born in Ballarat, Australia in 1942. After schooling and undergraduate education in Australia, he completed his PhD at Stanford University, USA in 1966. He has been a Professor of Mathematics at the Australian National University, Canberra since 1973. His research contributions, while largely focussed on non-linear elliptic partial differential equations, have also spread into geometry, functional analysis and computational mathematics. Among honours received are Fellowships of the Australian Academy of Science and of the Royal Society of London.

Reviews

From the reviews:
"The aim of the book is to present "the systematic development of the general theory of second order quasilinear elliptic equations and of the linear theory required in the process". The book is divided into two parts. The first (Chapters 2-8) is devoted to the linear theory, the second (Chapters 9-15) to the theory of quasilinear partial differential equations. These 14 chapters are preceded by an Introduction (Chapter 1) which expounds the main ideas and can serve as a guide to the book. ...The authors have succeeded admirably in their aims; the book is a real pleasure to read".
Mathematical Reviews,1986


"Advanced students and professionals are snapping up this paperback text on linear and quasilinear partial differential equations. Whether you use their book as textbook or reference, the authors give you plenty to think about and work on, including an epilogue summarizing the latest research."
Amazon.com delivers Mathematics and Statistics e-bulletin, July 2001

Table of contents (17 chapters)

  • Introduction

    Gilbarg, David (et al.)

    Pages 1-10

  • Laplace’s Equation

    Gilbarg, David (et al.)

    Pages 13-30

  • The Classical Maximum Principle

    Gilbarg, David (et al.)

    Pages 31-50

  • Poisson’s Equation and the Newtonian Potential

    Gilbarg, David (et al.)

    Pages 51-72

  • Banach and Hilbert Spaces

    Gilbarg, David (et al.)

    Pages 73-86

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-642-61798-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-540-41160-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Elliptic Partial Differential Equations of Second Order
Authors
Series Title
Classics in Mathematics
Copyright
2001
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-61798-0
DOI
10.1007/978-3-642-61798-0
Softcover ISBN
978-3-540-41160-4
Series ISSN
1431-0821
Edition Number
2
Number of Pages
XIII, 518
Additional Information
Originally published as volume 224 in the series: Grundlehren der mathematischen Wissenschaften
Topics