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Mathematics Subject Classification 1991
31-XX Potential theory, {For probabilistic potential theory, See 60J45}
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31-00
General reference works (handbooks, dictionaries, bibliographies, etc.)
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31-01
Instructional exposition (textbooks, tutorial papers, etc.)
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31-02
Research exposition (monographs, survey articles)
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31-03
Historical (must be assigned at least one classification number from Section 01)
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31-04
Explicit machine computation and programs (not the theory of computation or programming)
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31-06
Proceedings, conferences, collections, etc.
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31Axx Two-dimensional theory
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31A05
Harmonic, subharmonic, superharmonic functions
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31A10
Integral representations, integral operators, integral equations methods
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31A15
Potentials and capacity, harmonic measure, extremal length, See also {30C85}
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31A20
Boundary behavior (theorems of Fatou type, etc.)
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31A25
Boundary value and inverse problems
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31A30
Biharmonic, polyharmonic functions and equations, Poisson's equation
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31A35
Connections with differential equations
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31A99
None of the above but in this section
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31Bxx Higher-dimensional theory
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31B05
Harmonic, subharmonic, superharmonic functions
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31B10
Integral representations, integral operators, integral equations methods
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31B15
Potentials and capacities, extremal length
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31B20
Boundary value and inverse problems
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31B25
Boundary behavior
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31B30
Biharmonic and polyharmonic equations and functions
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31B35
Connections with differential equations
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31B99
None of the above but in this section
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31Cxx Other generalizations
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31C05
Harmonic, subharmonic, superharmonic functions
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31C10
Pluriharmonic and plurisubharmonic functions, See Also { 32F05}
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31C12
Potential theory on Riemannian manifolds, See also {53C20; for Hodge theory, See 58A14}
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31C15
Potentials and capacities
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31C20
Discrete potential theory and numerical methods
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31C25
Dirichlet spaces
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31C35
Martin boundary theory, See also {60J50}
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31C40
Fine potential theory
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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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Letzte Änderung: 10. Nov. 2010