Książka Function Spaces and Potential Theory David R. Adams

Function Spaces and Potential Theory

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
592.51
The subject of this book is the interplay between function space theory and potential theory. A cruc...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
1995
strony
368
EAN
9783540570608
ISBN
3540570608
Enbook ID
01565688
Waga
742
Wymiary
163 x 242 x 31

Pełny opis

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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