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The Maximum Principle : Progress in Nonlinear Differential Equations and Their Applications - Patrizia Pucci

The Maximum Principle

By: Patrizia Pucci, J. B. Serrin

Hardcover | 17 September 2007

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Intended for a wide audience, this 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. It is the first book containing a detailed description of modern work on the maximum principle for nonlinear elliptic differential equations. 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.

Industry Reviews
Aus den Rezensionen: "Das Maximumprinzip ist das staerkste Hilfsmittel, um Eindeutigkeit und stetige Abhaengigkeit 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 Sobolewraeume 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)

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