Function Spaces and Potential Theory

Name: Function Spaces and Potential Theory
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540570608
Price: 3198 CZK
Availability: InStock

Autor: David R. Adams, Lars I. Hedberg

Jazyk:

Vazba: Pevná

Vydavatel: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnost: Skladem u dodavatele

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The subject of this book is the interplay between function space theory and potential theory. A cruc...

Informace o knize

Autor

David R. Adams, Lars I. Hedberg

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

1995

Stránek

368

EAN

9783540570608

ISBN

3540570608

Enbook ID

01565688

Vydavatel

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnost

742

Rozměry

163 x 242 x 31

Kompletní popis

The subject of this book is the interplay between function space theory and potential theory. A crucial step in classical potential theory is the identification of the potential energy of a charge with the square of a Hilbert space norm. This leads to the Dirichlet space of locally integrable functions whose gradients are square integrable. More recently, a generalized potential theory has been developed, which has an analogous relationship to the standard Banach function spaces, Sobolev spaces, Besov spaces etc., that appear naturally in the study of partial differential equations. A surprisingly large part of classical potential theory has been extended to this nonlinear setting. The extensions are sometimes surprising, usually they are nontrivial and have required new methods.

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Function Spaces and Potential Theory

Informace o knize

Kompletní popis

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