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Présentation de l'éditeur
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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"..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
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- ÉditeurSpringer
- Date d'édition2010
- ISBN 10 364208172X
- ISBN 13 9783642081729
- ReliureBroché
- Langueanglais
- Nombre de pages384
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FUNCTION SPACES AND POTENTIAL THEORY
Edité par
Springer Science+Business Media, Berlin, Heidelberg, 2010
ISBN 10 : 364208172X
ISBN 13 : 9783642081729
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Softcover. Second Printing, Corrected. Octavo, viii, xi, 366 pages. In Very Good condition. Paperback binding. Spine yellow with dark blue lettering. Covers have very minimal wear. Text block has extremely faint wear to the edges. Second printing, corrected. NOTE: Shelved in Netdesk Column H, ND-H. 1379090. FP New Rockville Stock. N° de réf. du vendeur 1379090
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Function Spaces and Potential Theory
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Springer Berlin Heidelberg Dez 2010, 2010
ISBN 10 : 364208172X
ISBN 13 : 9783642081729
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'.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 384 pp. Englisch. N° de réf. du vendeur 9783642081729
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Function Spaces and Potential Theory (Grundlehren der mathematischen Wissenschaften)
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Function Spaces and Potential Theory (Grundlehren der mathematischen Wissenschaften)
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Function Spaces and Potential Theory
Edité par
Springer Berlin Heidelberg, 2010
ISBN 10 : 364208172X
ISBN 13 : 9783642081729
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Function spaces, especially those spaces that have become known as Sobolev spaces, and their natural extensions, are now a central concept in analysis. In particular, they play a decisive role in the modem theory of partial differential equations (PDE). Potential theory, which grew out of the theory of the electrostatic or gravita tional potential, the Laplace equation, the Dirichlet problem, etc. , had a fundamen tal role in the development of functional analysis and the theory of Hilbert space. Later, potential theory was strongly influenced by functional analysis. More re cently, ideas from potential theory have enriched the theory of those more general function spaces that appear naturally in the study of nonlinear partial differential equations. This book is motivated by the latter development. The connection between potential theory and the theory of Hilbert spaces can be traced back to C. F. Gauss [181], who proved (with modem rigor supplied almost a century later by O. Frostman [158]) the existence of equilibrium potentials by minimizing a quadratic integral, the energy. This theme is pervasive in the work of such mathematicians as D. Hilbert, Ch. -J. de La Vallee Poussin, M. Riesz, O. Frostman, A. Beurling, and the connection was made particularly clear in the work of H. Cartan [97] in the 1940's. In the thesis of J. Deny [119], and in the subsequent work of J. Deny and J. L. N° de réf. du vendeur 9783642081729
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Function Spaces and Potential Theory
Edité par
Springer Berlin Heidelberg, 2010
ISBN 10 : 364208172X
ISBN 13 : 9783642081729
Neuf
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. .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|Function spaces, especially those . N° de réf. du vendeur 5047219
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Function Spaces and Potential Theory
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 384. N° de réf. du vendeur 263056307
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Function Spaces and Potential Theory
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand pp. 384 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. N° de réf. du vendeur 5840236
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Function Spaces and Potential Theory
impression à la demandeVendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. PRINT ON DEMAND pp. 384. N° de réf. du vendeur 183056313
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