Potential theory
Author(s)
Bibliographic Information
Potential theory
(Lecture notes in mathematics, 408)
Springer-Verlag, 1981
2nd ed
- : us
- : gw
Available at / 32 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: gwL/N||LNM||408RM010276
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
: gw510/L4972021100246
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Note
Bibliography: p. [164]-165
Includes index
Description and Table of Contents
Table of Contents
Electrostatics.- Poisson's equation.- Fundamental solutions.- Capacity.- Energy.- Existence of the equilibrium distribution.- Maximum principle for potentials.- Uniqueness of the equilibrium distribution.- The cone condition.- Singularities of bounded harmonic functions.- Green's function.- The kelvin transform.- Perron's method.- Barriers.- Kellogg's theorem.- The riesz decomposition theorem.- Applications of the riesz decomposition.- Wiener's criterion.
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