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Partielle Differentialgleichungen der Geometrie und der Physik 2

Partielle Differentialgleichungen der Geometrie und der Physik 2

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783540275404
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 zweiten Band werden folgende Themen behandelt: Lsbarkeit von Operatorgleichungen im Banachraum, lineare Operatoren im Hilbertraum und Spektraltheorie, Schaudersche Theorie linearer elliptischer Differentialgleichungen, schwache Lsungen elliptischer Differentialgleichungen, nichtlineare partielle Differentialgleichungen und Charakteristikentheorie, nichtlineare elliptische Systeme mit differentialgeometrischen Anwendungen. Whrend im vorausgehenden Band die partiellen Differentialgleichungen mit Integraldarstellungen im Mittelpunkt standen, werden nun funktionalanalytische Lsungsmethoden vorgestellt. Dieses Lehrbuch kann daher fr einen mehrsemestrigen Kurs verwendet werden. Fortgeschrittene Leser knnen jedes Kapitel auch unabhngig voneinander studieren.

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