Function spaces and potential theory. Grundlehren der mathematischen Wissenschaften; 314.

Adams, David R.:

ISBN 10: 3540570608 / ISBN 13: 9783540570608

Published by Berlin, Springer, 2009

About this Item

XI, 366 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04605 3540570608 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2490842

Bibliographic Details

Title: Function spaces and potential theory. ...

Publisher: Berlin, Springer

Publication Date: 2009

Binding: Hardcover

Edition: Corr. 2. print., [Nachdr.].

About this title

Synopsis:

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.

Review:

"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." --Proceedings of the Edinburgh Mathematical Society