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Elliptic Partial Differential Equations of Second Order 2d Edition

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Elliptic Partial Differential Equations of Second Order 2d Edition Cover

 

Synopses & Reviews

Publisher Comments:

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

Synopsis:

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." --New Zealand Mathematical Society, 1985

Description:

Includes bibliographical references (p. [491]-506) and indexes.

About the Author

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.

Table of Contents

Part I: Linear Equations:Laplace's Equation; The Classical Maximum Principle; Poisson's Equation and Newtonian Potential; Banach and Hilbert Spaces; Classical Solutions; the Schauder Approach; Sobolev Spaces; Generalized Solutions and Regularity; Strong Solutions.Part II: Quasilinear Equations:Maximum and Comparison Principles; Topological Fixed Point Theorems and Their Application; Equations in Two Variables; Hölder Estimates for the Gradient; Boundary Gradient Estimates; Global and Interior Gradient Bounds; Equations of Mean Curvature Type; Fully Nonlinear Equations.- Bibliography.- Epilogue.- Subject Index.- Notation Index.

Product Details

ISBN:
9783540411604
Author:
Gilbarg, David
Author:
Trudinger, Neil S.
Author:
Gilbarg, David
Author:
Gilbarg, D.
Author:
Trudinger, N. S.
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
Differential Equations
Subject:
Differential Equations - Partial Differential Equations
Subject:
Classification
Subject:
Differential equations, elliptic
Subject:
2000
Subject:
Subject
Subject:
25Gxx
Subject:
35Jxx
Subject:
Elliptic PDE
Subject:
Mathematical
Subject:
Mathematical Subject Classification 2000
Subject:
nonlinear analysis
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
General-General
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Differential equations, partial
Copyright:
Edition Number:
2
Edition Description:
Reprint of the 2nd ed. Berlin Heidelberg New York 1983. Corr. 3rd printing 1998
Series:
Classics in Mathematics
Series Volume:
no. 3
Publication Date:
January 2001
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
536
Dimensions:
235 x 155 mm 1660 gr

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Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General

Elliptic Partial Differential Equations of Second Order 2d Edition New Trade Paper
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$77.50 In Stock
Product details 536 pages Springer-Verlag - English 9783540411604 Reviews:
"Synopsis" by , 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." --New Zealand Mathematical Society, 1985
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