Potential Theory

In mathematics and mathematical physics, potential theory is the study of harmonic functions.

Read more about Potential Theory:  Definition and Comments, Symmetry, Two Dimensions, Local Behavior, Inequalities, Spaces of Harmonic Functions

Other articles related to "potential theory, theory, potentials, potential":

Field Equation - Potential Theory - Laplace's Equation
... In the case where there is no source term (e.g ... vacuum, or paired charges), these potentials obey Laplace's equation ...
Gaetano Fichera - Work - Research Activity - Potential Theory
... His contributions to potential theory are very important ... Schulze and others testify) can be included in between his works in potential theory ...
Martingale (probability Theory) - Submartingales, Supermartingales, and Relationship To Harmonic Functions
... reflect a relationship between martingale theory and potential theory, which is the study of harmonic functions ... a continuous-time submartingale satisfies In potential theory, a subharmonic function f ]satisfies Δf ≥ 0 ... supermartingale satisfies In potential theory, a superharmonic function f satisfies Δf ≤ 0 ...
Marcel Riesz - Mathematical Work - Potential Theory, PDE, and Clifford Algebras
... After 1930, the interests of Riesz shifted to potential theory and partial differential equations ... He made use of "generalised potentials", generalisations of the Riemann–Liouville integral ... In particular, Riesz discovered the Riesz potential, a generalisation of the Riemann–Liouville integral to dimension higher than one ...

Famous quotes containing the words theory and/or potential:

    Thus the theory of description matters most.
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    For whom the word is the making of the world,
    The buzzing world and lisping firmament.
    Wallace Stevens (1879–1955)

    Raising a daughter is an extremely political act in this culture. Mothers have been placed in a no-win situation with their daughters: if they teach their daughters simply how to get along in a world that has been shaped by men and male desires, then they betray their daughters’ potential But, if they do not, they leave their daughters adrift in a hostile world without survival strategies.
    Elizabeth Debold (20th century)