superharmonic
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Obstacle problem — The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium position of an elastic membrane whose boundary is held fixed, and which… … Wikipedia
Subharmonic function — In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory. Intuitively, subharmonic functions are related to convex… … Wikipedia
Kelvin transform — This article is about a type of transform used in classical potential theory, a topic in mathematics. The Kelvin transform is a device used in classical potential theory to extend the concept of a harmonic function, by allowing the definition of… … Wikipedia
Martingale (probability theory) — For the martingale betting strategy , see martingale (betting system). Stopped Brownian motion is an example of a martingale. It can be used to model an even coin toss betting game with the possibility of bankruptcy. In probability theory, a… … Wikipedia
List of wave topics — This is a list of wave topics.0 ndash;9*21 cm lineA*Abbe prism *absorption spectrum *acoustics *Airy disc *Airy wave theory *Alfvén wave *Alpha waves *amphidromic point *amplitude *amplitude modulation *analog sound vs. digital sound *animal… … Wikipedia
Phragmén-Lindelöf principle — In mathematics, the Phragmén Lindelöf principle is a 1908 extension by Lars Edvard Phragmén (1863 1937) and Ernst Leonard Lindelöf of the maximum modulus principle of complex analysis, to unbounded domains. BackgroundIn complex function theory it … Wikipedia
Maximum principle — This article describes the maximum principle in the theory of partial differential equations. For the maximum principle in optimal control theory, see Pontryagin s minimum principle. In mathematics, the maximum principle is a property of… … Wikipedia
Fine topology (potential theory) — In mathematics, in the field of potential theory, the fine topology is a natural topology for setting the study of subharmonic functions. In the earliest studies of subharmonic functions, only smooth functions were considered, namely those for… … Wikipedia
Polar set (potential theory) — In mathematics, in the area of classical potential theory, polar sets are the negligible sets , similar to the way in which sets of measure zero are the negligible sets in measure theory. Definition A set Z in R^n (where nge 2) is a polar set if… … Wikipedia
