Share

Potential Theory on Harmonic Spaces

1972-12-05 Mathematics
Download Potential Theory on Harmonic Spaces PDF Online Free

Author :
Release : 1972-12-05
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis Potential Theory on Harmonic Spaces by : Corneliu Constantinescu

Download or read book Potential Theory on Harmonic Spaces written by Corneliu Constantinescu. This book was released on 1972-12-05. Available in PDF, EPUB and Kindle. Book excerpt: There has been a considerable revival of interest in potential theory during the last 20 years. This is made evident by the appearance of new mathematical disciplines in that period which now-a-days are considered as parts of potential theory. Examples of such disciplines are: the theory of Choquet capacities, of Dirichlet spaces, of martingales and Markov processes, of integral representation in convex compact sets as well as the theory of harmonic spaces. All these theories have roots in classical potential theory. The theory of harmonic spaces, sometimes also called axiomatic theory of harmonic functions, plays a particular role among the above mentioned theories. On the one hand, this theory has particularly close connections with classical potential theory. Its main notion is that of a harmonic function and its main aim is the generalization and unification of classical results and methods for application to an extended class of elliptic and parabolic second order partial differential equations. On the other hand, the theory of harmonic spaces is closely related to the theory of Markov processes. In fact, all important notions and results of the theory have a probabilistic interpretation.

Nonlinear Potential Theory on Metric Spaces

2011 Harmonic functions
Download Nonlinear Potential Theory on Metric Spaces PDF Online Free

Author :
Release : 2011
Genre : Harmonic functions
Kind : eBook
Book Rating : 999/5 ( reviews)

GET EBOOK


Book Synopsis Nonlinear Potential Theory on Metric Spaces by : Anders Björn

Download or read book Nonlinear Potential Theory on Metric Spaces written by Anders Björn. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: The $p$-Laplace equation is the main prototype for nonlinear elliptic problems and forms a basis for various applications, such as injection moulding of plastics, nonlinear elasticity theory, and image processing. Its solutions, called p-harmonic functions, have been studied in various contexts since the 1960s, first on Euclidean spaces and later on Riemannian manifolds, graphs, and Heisenberg groups. Nonlinear potential theory of p-harmonic functions on metric spaces has been developing since the 1990s and generalizes and unites these earlier theories. This monograph gives a unified treatment of the subject and covers most of the available results in the field, so far scattered over a large number of research papers. The aim is to serve both as an introduction to the area for interested readers and as a reference text for active researchers. The presentation is rather self contained, but it is assumed that readers know measure theory and functional analysis. The first half of the book deals with Sobolev type spaces, so-called Newtonian spaces, based on upper gradients on general metric spaces. In the second half, these spaces are used to study p-harmonic functions on metric spaces, and a nonlinear potential theory is developed under some additional, but natural, assumptions on the underlying metric space. Each chapter contains historical notes with relevant references, and an extensive index is provided at the end of the book.

Harmonic Analysis and Discrete Potential Theory

2013-11-11 Mathematics
Download Harmonic Analysis and Discrete Potential Theory PDF Online Free

Author :
Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 233/5 ( reviews)

GET EBOOK


Book Synopsis Harmonic Analysis and Discrete Potential Theory by : M.A. Picardello

Download or read book Harmonic Analysis and Discrete Potential Theory written by M.A. Picardello. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the Proceedings of a Congress held in Frascati (Rome) in the period July 1 -July 10, 1991, on the subject of harmonic analysis and discrete potential theory, and related topics. The Congress was made possible by the financial support of the Italian National Research Council ("Gruppo GNAFA"), the Ministry of University ("Gruppo Analisi Funzionale" of the University of Milano), the University of Rome "Tor Vergata", and was also patronized by the Centro "Vito Volterra" of the University of Rome "Tor Vergata". Financial support for publishing these Proceedings was provided by the University of Rome "Tor Vergata", and by a generous contribution of the Centro "Vito Volterra". I am happy of this opportunity to acknowledge the generous support of all these Institutions, and to express my gratitude, and that of all the participants. A number of distinguished mathematicians took part in the Congress. Here is the list of participants: M. Babillot, F. Choucroun, Th. Coulhon, L. Elie, F. Ledrappier, N. Th. Varopoulos (Paris); L. Gallardo (Brest); Ph. Bougerol, B. Roynette (Nancy); O. Gebuhrer (Strasbourg); G. Ahumada-Bustamante (Mulhouse); A. Valette (Neuchatel); P. Gerl (Salzburg); W. Hansen, H. Leptin (Bielefeld); M. Bozejko, A. Hulanicki, T. Pytlik (Wroclaw); C. Thomassen (Lyngby); P. Sjogren (Goteborg); V. Kaimanovich (Leningrad); A. Nevo (Jerusalem); T. Steger (Chicago); S. Sawyer, M. Taibleson, G. Weiss (St. Louis); J. Cohen, S.S ali ani (Maryland); D. Voiculescu (Berkeley); A. Zemanian (Stony Brook); S. Northshield (Plattsburgh); J. Taylor (Montreal); J

Function Spaces and Potential Theory

2012-12-06 Mathematics
Download Function Spaces and Potential Theory PDF Online Free

Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 821/5 ( reviews)

GET EBOOK


Book Synopsis Function Spaces and Potential Theory by : David R. Adams

Download or read book Function Spaces and Potential Theory written by David R. Adams. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: "..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

Classical and Modern Potential Theory and Applications

2012-12-06 Mathematics
Download Classical and Modern Potential Theory and Applications PDF Online Free

Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 383/5 ( reviews)

GET EBOOK


Book Synopsis Classical and Modern Potential Theory and Applications by : K. GowriSankaran

Download or read book Classical and Modern Potential Theory and Applications written by K. GowriSankaran. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993

You may also like...