Foundations Of Modern Potential Theory

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Foundations Of Modern Potential Theory


Foundations Of Modern Potential Theory
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Foundations Of Modern Potential Theory


Foundations Of Modern Potential Theory
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Author : Naum S. Landkof
language : en
Publisher: Springer
Release Date : 2011-11-15



Foundations Of Modern Potential Theory written by Naum S. Landkof and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-15 with Mathematics categories.


For a long time potential theory was necessarily viewed as only another chapter of mathematical physics. Developing in close connection with the theory of boundary-value problems for the Laplace operator, it led to the creation of the mathematical apparatus of potentials of single and double layers; this was adequate for treating problems involving smooth boundaries. A. M. Lyapunov is to be credited with the rigorous analysis of the properties of potentials and the possibilities for applying them to the 1 solution of boundary-value problems. The results he obtained at the end of the 19th century later received a more detailed and sharpened exposition in the book by N. M. Gunter, published in Paris in 1934 and 2 in New York 1967 with additions and revisions. Of fundamental significance to potential theory also was the work of H. Poincare, especially his method of sweeping out mass (balayage). At the beginning of the 20th century the work of S. Zaremba and especially of H. Lebesgue attracted the attention of mathematicians to the unsolvable cases of the classical Dirichlet problem. Through the efforts of O. Kellogg, G. Bouligand, and primarily N. Wiener, by the middle of the 20th century the problem of characterizing the so-called irregular points of the boundary of a region (i. e. 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.

Foundations Of Modern Potential Theory


Foundations Of Modern Potential Theory
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Author : Naum Samoĭlovich Landkof
language : en
Publisher: Springer
Release Date : 1972



Foundations Of Modern Potential Theory written by Naum Samoĭlovich Landkof and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Functions of complex variables categories.




Foundations Of Modern Potential Theory


Foundations Of Modern Potential Theory
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Author : N. S. Landkof
language : de
Publisher:
Release Date : 1972



Foundations Of Modern Potential Theory written by N. S. Landkof and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.




Foundations Of Potential Theory


Foundations Of Potential Theory
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Author : Oliver Dimon Kellogg
language : en
Publisher: Courier Corporation
Release Date : 1953-01-01



Foundations Of Potential Theory written by Oliver Dimon Kellogg and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953-01-01 with Science categories.


Introduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.

Foundations Of Modern Potential Theory Osnovy Sovremennoi Teorii Potenciala Engl Transl


Foundations Of Modern Potential Theory Osnovy Sovremennoi Teorii Potenciala Engl Transl
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Author : Naum Samojlovič Landkof
language : en
Publisher:
Release Date : 1972



Foundations Of Modern Potential Theory Osnovy Sovremennoi Teorii Potenciala Engl Transl written by Naum Samojlovič Landkof and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.




Nonlinear Potential Theory Of Degenerate Elliptic Equations


Nonlinear Potential Theory Of Degenerate Elliptic Equations
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Author : Juha Heinonen
language : en
Publisher: Courier Dover Publications
Release Date : 2018-05-16



Nonlinear Potential Theory Of Degenerate Elliptic Equations written by Juha Heinonen and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Mathematics categories.


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.

Classical And Modern Potential Theory And Applications


Classical And Modern Potential Theory And Applications
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Author : K. GowriSankaran
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06



Classical And Modern Potential Theory And Applications written by K. GowriSankaran and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993