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Partielle Differentialgleichungen

Partielle Differentialgleichungen (Paperback)

£25.00
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Synopsis

Dieses Lehrbuch bringt in einem stufenweisen Aufbau, ausgehend von der Mittelwerteigenschaft harmonischer Funktionen, uber die Perronsche Methode zur Losung des Dirichletproblems fur die Laplacegleichung und den Kelloggschen Satz uber das Randverhalten von Losungen der Poissongleichung, eine Darstellung der klassischen Theorie linearer elliptischer Differentialgleichungen 2. Ordnung. Der Zusammenhang mit schwachen Losungen solcher Gleichungen wird hergestellt. Hervorzuheben sind zahlreiche neue und vereinfachte Beweise, so fur die Symmetrie und die Abschatzung der Greenschen Funktion und ihrer Ableitungen. Der sparsame und effiziente Einsatz von Hilfsmitteln ermoglicht den Studierenden das Eindringen in dieses Gebiet bereits ab dem 2. Studienjahr. Die Beschreibung von Beweisvarianten erleichtert es dem Dozenten, fur Vorlesung oder Seminar eine Auswahl zu treffen. Eine Besonderheit dieses Buches bilden die vielen historischen Bezuge und Literaturhinweise, die auch dem Fachmann manches Neue bieten."

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equationsScience & MathematicsScience: general issues Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 01/09/2007 ISBN-13: 9783540457176  Details: Type: Paperback Format: Books
Availability: To Order. Estimated despatch in 1-3 weeks.  

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