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Angewandte Funktionalanalysis

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Brand
Springer Nature
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N/A
Part Number
0
GTIN
9783642152696
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New
Product Description

In diesem Lehrbuch werden die Methoden der Funktionalanalysis mit ihren Anwendungen in der Theorie elliptischer Differentialgleichungen behandelt. Gleichzeitig werden dem Leser die analytischen und funktionalanalytischen Stze nher gebracht, die fr die numerische Approximation elliptischer (und anderer) Differentialgleichungen bedeutsam sind. Neben dem klassischen Stoff der linearen Funktionalanalysis werden daher ausfhrlich die Sobolevschen Funktionenrume (auch von negativer und gebrochener Ordnung) sowie die Existenz- und Regularittstheorie elliptischer Differentialgleichungen behandelt. Besonderer Wert wird auf die Umsetzung der Funktionalanalysis gelegt, also der Anwendung der abstrakten Theorie auf den konkreten Fall. Dies geschieht durch eine Vielzahl von Anwendungsbeispielen. Zahlreiche sorgfltig ausgewhlte und kommentierte Aufgaben runden die Darstellung ab.

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