Complex Potential Theory, Paul M. Gauthier; Gert Sabidussi

Автор: Corneliu Constantinescu; Aurel Cornea
Название: Potential Theory on Harmonic Spaces
ISBN: 3642654347 ISBN-13(EAN): 9783642654343
Издательство: Springer
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Описание: The theory of harmonic spaces, sometimes also called axiomatic theory of harmonic functions, plays a particular role among the above mentioned theories.

Автор: A.P. Doohovskoy; Naum S. Landkof
Название: Foundations of Modern Potential Theory
ISBN: 3642651852 ISBN-13(EAN): 9783642651854
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Описание: the points at which the continuity of the solution of the Dirichlet problem may be violated) was completely solved and a procedure to obtain a generalized solution to the Dirichlet problem was described.

Автор: Josef Kral; Jaroslav Lukes; Ivan Netuka; Jiri Vese
Название: Potential Theory
ISBN: 1461282764 ISBN-13(EAN): 9781461282761
Издательство: Springer
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Описание: Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The present volume may thus be of intrest to mathematicians speciali- zing in the above-mentioned fields and also to everybody interested in the present state of potential theory as a whole.

Автор: J. Wermer
Название: Potential Theory
ISBN: 3540102760 ISBN-13(EAN): 9783540102762
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Автор: David R. Adams; Lars I. Hedberg
Название: Function Spaces and Potential Theory
ISBN: 364208172X ISBN-13(EAN): 9783642081729
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Описание: 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.

Автор: Jaroslav Lukes; Jan Maly; Ludek Zajicek
Название: Fine Topology Methods in Real Analysis and Potential Theory
ISBN: 354016474X ISBN-13(EAN): 9783540164746
Издательство: Springer
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Автор: Oliver Dimon Kellogg
Название: Foundations of Potential Theory
ISBN: 3642867502 ISBN-13(EAN): 9783642867507
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Описание: The treatment of the fundamental existence theorems in Chapter XI by means of integral equations meets squarely the difficulties incident to *the discontinuity of the kernel, and the same chapter gives an account of the most recent developments with respect to the Dirichlet problem.

Автор: Daniel Bienstock
Название: Potential Function Methods for Approximately Solving Linear Programming Problems: Theory and Practice
ISBN: 1475776721 ISBN-13(EAN): 9781475776720
Издательство: Springer
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Описание: Potential Function Methods For Approximately Solving Linear Programming Problems breaks new ground in linear programming theory. During the last ten years, a new body of research within the field of optimization research has emerged, which seeks to develop good approximation algorithms for classes of linear programming problems.

Автор: Kalyan Kumar Roy
Название: Potential Theory in Applied Geophysics
ISBN: 3642091253 ISBN-13(EAN): 9783642091254
Издательство: Springer
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Описание: This book introduces the principles of gravitational, magnetic, electrostatic, direct current electrical and electromagnetic fields, with detailed solutions of Laplace and electromagnetic wave equations by the method of separation of variables.

Автор: Paolo M. Soardi
Название: Potential Theory on Infinite Networks
ISBN: 354058448X ISBN-13(EAN): 9783540584483
Издательство: Springer
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Описание: This monograph presents a unified approach to new developments in discrete potential theory and infinite network theory. It is aimed at researchers working with Markov chains, Dirichlet spaces, potential theory, abstract harmonic analysis, graph theory, network theory and boundary theory.