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Partielle Differentialgleichungen der Geometrie und der Physik 1

Partielle Differentialgleichungen der Geometrie und der Physik 1

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783540350279
Condition
New
Product Description

Dieses zweibndige Lehrbuch stellt das Gesamtgebiet der partiellen Differentialgleichungen - vom elliptischen, parabolischen und hyperbolischen Typ - in zwei und mehreren Vernderlichen vor. Im vorliegenden ersten Band werden folgende Themen behandelt: Integration auf Mannigfaltigkeiten, funktionalanalytische Grundlagen, Brouwerscher Abbildungsgrad, verallgemeinerte analytische Funktionen, Potentialtheorie und Kugelfunktionen, lineare partielle Differentialgleichungen. Whrend in diesem Band die partiellen Differentialgleichungen mit Integraldarstellungen gelst werden, sollen im nchsten Band funktionalanalytische Lsungsmethoden vorgestellt werden. Dieses Lehrbuch kann daher fr einen mehrsemestrigen Kurs verwendet werden. Fortgeschrittene Leser knnen jedes Kapitel auch unabhngig voneinander studieren.

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