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":
... In the case where there is no source term (e.g ... vacuum, or paired charges), these potentials obey Laplace's equation ...
... His contributions to potential theory are very important ... Schulze and others testify) can be included in between his works in potential theory ...
... 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 ...
... 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 ...
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