Kniha Function Spaces and Potential Theory David R. Adams

Function Spaces and Potential Theory

Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
139.98
The subject of this book is the interplay between function space theory and potential theory. A cruc...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
1995
Stránok
368
EAN
9783540570608
ISBN
3540570608
Enbook ID
01565688
Hmotnosť
742
Rozmery
163 x 242 x 31

Kompletný 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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