The Maximum Principle
1st Edition
Published on 17. September 2007
Book
Hardback
X, 236 pages
978-3-7643-8144-8 (ISBN)
Description
Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations.
Reviews / Votes
Aus den Rezensionen: "Das Maximumprinzip ist das stärkste Hilfsmittel, um Eindeutigkeit und stetige Abhängigkeit der Lösungen skalarer elliptischer und parabolischer Differentialgleichungen 2. Ordnung zu beweisen. ... In der Tat geht das Buch von Pucci-Serrin das Thema von Neuem an: Schwache Lösungen und Sobolewräume werden verwendet . Ohne Übertreibung kann das Buch als Juwel in der Reihe 'Progress in Nonlinear Differential Equations and Their Applications' bezeichnet werden ..." (N.Ortner, in: IMN Internationale Mathematische Nachrichten, April/2010, Issue 213, S. 55)More details
Series
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
X, 236 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
1170 gr
ISBN-13
978-3-7643-8144-8 (9783764381448)
DOI
10.1007/978-3-7643-8145-5
Schweitzer Classification
Other editions
Additional editions
Patrizia Pucci | J. B. Serrin
The Maximum Principle
E-Book
12/2007
1st Edition
Birkhäuser
€117.69
Available for download
Content
and Preliminaries.- Tangency and Comparison Theorems for Elliptic Inequalities.- Maximum Principles for Divergence Structure Elliptic Differential Inequalities.- Boundary Value Problems for Nonlinear Ordinary Differential Equations.- The Strong Maximum Principle and the Compact Support Principle.- Non-homogeneous Divergence Structure Inequalities.- The Harnack Inequality.- Applications.