The Maximum Principle (Progress in Nonlinear Differential Equations and Their Applications, 73) - Hardcover
Book 27 of 53: Progress in Nonlinear Differential Equations and Their Applications
Synopsis
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.
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Review
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)
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The Maximum Principle (Progress in Nonlinear Differential Equations and Their Applications, 73)
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Birkhäuser, 2007
ISBN 10: 3764381442
ISBN 13: 9783764381448
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