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The Maximum Principle Patrizia Pucci

The Maximum Principle By Patrizia Pucci

The Maximum Principle by Patrizia Pucci


Summary

Maximum principles are bedrock results in the theory of second order elliptic equations. 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.

The Maximum Principle Summary

The Maximum Principle by Patrizia Pucci

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.

The Maximum Principle Reviews

Aus den Rezensionen: Das Maximumprinzip ist das starkste Hilfsmittel, um Eindeutigkeit und stetige Abhangigkeit der Loesungen skalarer elliptischer und parabolischer Differentialgleichungen 2. Ordnung zu beweisen. ... In der Tat geht das Buch von Pucci-Serrin das Thema von Neuem an: Schwache Loesungen und Sobolewraume werden verwendet ... Ohne UEbertreibung 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)

Table of Contents

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.

Additional information

NPB9783764381448
9783764381448
3764381442
The Maximum Principle by Patrizia Pucci
New
Hardback
Birkhauser Verlag AG
2007-09-17
236
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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