| 31-XX |
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Potential theory {For probabilistic potential theory, see 60J45} |
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31-00 |
General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to potential theory |
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31-01 |
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to potential theory |
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31-02 |
Research exposition (monographs, survey articles) pertaining to potential theory |
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31-03 |
History of potential theory [Consider also classification numbers from Section 01-XX] |
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31-04 |
Software, source code, etc. for problems pertaining to potential theory |
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31-06 |
Proceedings, conferences, collections, etc. pertaining to potential theory |
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31-08 |
Computational methods for problems pertaining to potential theory [See also 65Exx] |
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31-11 |
Research data for problems pertaining to potential theory |
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31A05 |
Harmonic, subharmonic, superharmonic functions in two dimensions |
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31A10 |
Integral representations, integral operators, integral equations methods in two dimensions |
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31A15 |
Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions [See also 30C85] |
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31A20 |
Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions |
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31A25 |
Boundary value and inverse problems for harmonic functions in two dimensions |
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31A30 |
Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions |
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31A35 |
Connections of harmonic functions with differential equations in two dimensions |
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31A99 |
None of the above, but in this section |
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31B05 |
Harmonic, subharmonic, superharmonic functions in higher dimensions |
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31B10 |
Integral representations, integral operators, integral equations methods in higher dimensions |
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31B15 |
Potentials and capacities, extremal length and related notions in higher dimensions |
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31B20 |
Boundary value and inverse problems for harmonic functions in higher dimensions |
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31B25 |
Boundary behavior of harmonic functions in higher dimensions |
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31B30 |
Biharmonic and polyharmonic equations and functions in higher dimensions |
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31B35 |
Connections of harmonic functions with differential equations in higher dimensions |
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31B99 |
None of the above, but in this section |
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31C05 |
Harmonic, subharmonic, superharmonic functions on other spaces |
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31C10 |
Pluriharmonic and plurisubharmonic functions [See also 32U05] |
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31C12 |
Potential theory on Riemannian manifolds and other spaces [See also 53C20] {For Hodge theory, see 58A14} |
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31C15 |
Potentials and capacities on other spaces |
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31C20 |
Discrete potential theory |
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31C25 |
Dirichlet forms |
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31C35 |
Martin boundary theory [See also 60J50] |
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31C40 |
Fine potential theory; fine properties of sets and functions |
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31C45 |
Other generalizations (nonlinear potential theory, etc.) |
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31C99 |
None of the above, but in this section |
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31D05 |
Axiomatic potential theory |
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31D99 |
None of the above, but in this section |
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31E05 |
Potential theory on fractals and metric spaces |
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31E99 |
None of the above, but in this section |
