31-XX
|
Potential theory
{For probabilistic potential theory, see
60J45}
|
31-00
|
General reference works (handbooks, dictionaries, bibliographies, etc.)
|
31-01
|
Instructional exposition (textbooks, tutorial papers, etc.)
|
31-02
|
Research exposition (monographs, survey articles)
|
31-03
|
Historical {!must also be assigned at least one classification number from section 01}
|
31-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
31-06
|
Proceedings, conferences, collections, etc.
|
31Axx
|
Two-dimensional theory
|
31A05
|
Harmonic, subharmonic, superharmonic functions
|
31A10
|
Integral representations, integral operators, integral equations methods
|
31A15
|
Potentials and capacity, harmonic measure, extremal length
[See also
30C85]
|
31A20
|
Boundary behavior (theorems of Fatou type, etc.)
|
31A25
|
Boundary value and inverse problems
|
31A30
|
Biharmonic, polyharmonic functions and equations, Poisson's equation
|
31A35
|
Connections with differential equations
|
31A99
|
None of the above, but in this section
|
31Bxx
|
Higher-dimensional theory
|
31B05
|
Harmonic, subharmonic, superharmonic functions
|
31B10
|
Integral representations, integral operators, integral equations methods
|
31B15
|
Potentials and capacities, extremal length
|
31B20
|
Boundary value and inverse problems
|
31B25
|
Boundary behavior
|
31B30
|
Biharmonic and polyharmonic equations and functions
|
31B35
|
Connections with differential equations
|
31B99
|
None of the above, but in this section
|
31Cxx
|
Other generalizations
|
31C05
|
Harmonic, subharmonic, superharmonic functions
|
31C10
|
Pluriharmonic and plurisubharmonic functions
[See also
32U05]
|
31C12
|
Potential theory on Riemannian manifolds
[See also
53C20]
{For Hodge theory, see
58A14}
|
31C15
|
Potentials and capacities
|
31C20
|
Discrete potential theory and numerical methods
|
31C25
|
Dirichlet spaces
|
31C35
|
Martin boundary theory
[See also
60J50]
|
31C40
|
Fine potential theory
|
31C45
|
Other generalizations (nonlinear potential theory, etc.)
|
31C99
|
None of the above, but in this section
|
31D05
|
Axiomatic potential theory
|