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Mathematics Subject Classification – MSC2010
31XX
Potential theory
[For probabilistic potential theory, see
60J45
]
18000
31Cxx
Other generalizations
5382
31C05
Harmonic, subharmonic, superharmonic functions
1006
31C10
Pluriharmonic and plurisubharmonic functions
[See also
32U05
]
694
31C12
Potential theory on Riemannian manifolds
[See also
53C20
; for Hodge theory, see
58A14
]
472
31C15
Potentials and capacities
931
31C20
Discrete potential theory and numerical methods
430
31C25
Dirichlet spaces
1158
31C35
Martin boundary theory
[See also
60J50
]
312
31C40
Fine potential theory
131
31C45
Other generalizations
(nonlinear potential theory, etc.)
574
31C99
None of the above, but in this section
283
Overview
00
General mathematics
01
History and biography
03
Mathematical logic and foundations
05
Combinatorics
06
Order, lattices, ordered algebraic structures
08
General algebraic systems
11
Number theory
12
Field theory and polynomials
13
Commutative algebra
14
Algebraic geometry
15
Linear and multilinear algebra; matrix theory
16
Associative rings and algebras
17
Nonassociative rings and algebras
18
Category theory, homological algebra
19
\(K\)theory
20
Group theory and generalizations
22
Topological groups, Lie groups
26
Real functions
28
Measure and integration
30
Functions of a complex variable
31
Potential theory
32
Several complex variables and analytic spaces
33
Special functions
34
Ordinary differential equations
35
Partial differential equations
37
Dynamical systems and ergodic theory
39
Difference and functional equations
40
Sequences, series, summability
41
Approximation and expansions
42
Harmonic analysis on Euclidean spaces
43
Abstract harmonic analysis
44
Integral transforms, operational calculus
45
Integral equations
46
Functional analysis
47
Operator theory
49
Calculus of variations and optimal control; optimization
51
Geometry
52
Convex and discrete geometry
53
Differential geometry
54
General topology
55
Algebraic topology
57
Manifolds and cell complexes
58
Global analysis, analysis on manifolds
60
Probability theory and stochastic processes
62
Statistics
65
Numerical analysis
68
Computer science
70
Mechanics of particles and systems
74
Mechanics of deformable solids
76
Fluid mechanics
78
Optics, electromagnetic theory
80
Classical thermodynamics, heat transfer
81
Quantum Theory
82
Statistical mechanics, structure of matter
83
Relativity and gravitational theory
85
Astronomy and astrophysics
86
Geophysics
90
Operations research, mathematical programming
91
Game theory, economics, social and behavioral sciences
92
Biology and other natural sciences
93
Systems theory; control
94
Information and communication, circuits
97
Mathematics education
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