F-harmonic Measure in a Non-linear Potential Theory
Author : Juha Heinonen
Publisher :
Page : 22 pages
File Size : 12,66 MB
Release : 1986
Category : Measure theory
ISBN :
Nonlinear Potential Theory of Degenerate Elliptic Equations
Author : Juha Heinonen
Publisher : Courier Dover Publications
Page : 417 pages
File Size : 31,83 MB
Release : 2018-05-16
Category : Mathematics
ISBN : 0486830462
Book Description
A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.
Nonlinear Potential Theory on Metric Spaces
Author : Anders Björn
Publisher : European Mathematical Society
Page : 422 pages
File Size : 44,20 MB
Release : 2011
Category : Mathematics
ISBN : 9783037190999
Book Description
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.
Nonlinear Evolution Equations and Potential Theory
Author : J. Kral
Publisher : Springer Science & Business Media
Page : 138 pages
File Size : 45,21 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461344255
Book Description
Preface.- Gottfried Anger: Direct and inverse problems in potential theory.- Viorel Barbu: Regularity results for sane differential equations associated with maximal monotone operators in Hilbert spaces.- Haim Brezis: Classes d'interpolation associées à un opérateur monotone et applications.- Siegfried Dnümmel: On inverse problems for k-dimensional potentials.- Jozef Ka?ur: Application of Rothe's method to nonlinear parabolic boundary value problems.- Josef Král: Potentials and removability of singularities.- Vladimir Lovicar: Theorem of Fréchet and asymptotically almost periodid solutions of.
An Axiomatic Approach to Non-linear Potential Theory
Author : Pasi Lehtola
Publisher :
Page : 48 pages
File Size : 46,8 MB
Release : 1986
Category : Nonlinear theories
ISBN :
Book Description
Harmonic Analysis and Discrete Potential Theory
Author : M.A. Picardello
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 20,38 MB
Release : 2013-11-11
Category : Mathematics
ISBN : 1489923233
Book Description
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
Potential Theory
Author : Masanori Kishi
Publisher : Walter de Gruyter
Page : 417 pages
File Size : 11,9 MB
Release : 2011-05-02
Category : Mathematics
ISBN : 3110859068
Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
CMUC
Author :
Publisher :
Page : 748 pages
File Size : 45,24 MB
Release : 2007
Category : Mathematics
ISBN :
Book Description
Regularity Estimates for Nonlinear Elliptic and Parabolic Problems
Author : John Lewis
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 25,31 MB
Release : 2012-03-02
Category : Mathematics
ISBN : 3642271448
Book Description
The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions. Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.
Partial Differential Equations with Minimal Smoothness and Applications
Author : B. Dahlberg
Publisher : Springer Science & Business Media
Page : 227 pages
File Size : 17,81 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461228980
Book Description
In recent years there has been a great deal of activity in both the theoretical and applied aspects of partial differential equations, with emphasis on realistic engineering applications, which usually involve lack of smoothness. On March 21-25, 1990, the University of Chicago hosted a workshop that brought together approximately fortyfive experts in theoretical and applied aspects of these subjects. The workshop was a vehicle for summarizing the current status of research in these areas, and for defining new directions for future progress - this volume contains articles from participants of the workshop.
