Elliptic Partial Differential Equations of Second Order

David Gilbarg, Neil S. Trudinger - Collection Classics in Mathematics (CIM)

518 pages, parution le 02/01/2001 (2^eme édition)

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Résumé

From the reviews:

"...The authors have succeeded admirably in their aims; the book is a real pleasure to read".
Mathematical Reviews, 1986

"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, 1995

"Primarily addressed to graduate students, this elegant book is accessible and useful to a broad spectrum of applied mathematicians".
Revue Roumaine de Mathematiques Pures et Appliquees, 1985

Sommaire

Introduction
Linear Equations
- Laplace's Equation
- The Classical Maximum Principle
- Poisson's Equation and the Newtonian Potential
- Banach and Hilbert Spaces
- Classical Solutions; the Schauder Approach
- Sobolev Spaces
- Generalized Solutions and Regularity
- Strong Solutions
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

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer - Printemps des maths, Springer
Auteur(s)	David Gilbarg, Neil S. Trudinger
Collection	Classics in Mathematics (CIM)
Parution	02/01/2001
Édition	2^eme édition
Nb. de pages	518
Format	15,5 x 23,5
Couverture	Broché
Poids	799g
Intérieur	Noir et Blanc
EAN13	9783540411604