potential theory


Also found in: Wikipedia.

potential theory

[pə′ten·chəl ‚thē·ə·rē]
(mathematics)
The study of the functions arising from Laplace's equation, especially harmonic functions.
References in periodicals archive ?
The bookAEs readership includes researchers and graduate students in the theory of partial differential equations and potential theory. Distributed in the US by the American Mathematical Society.
Many results in this theory rely on tools and ideas originating in adjacent fields, Such as transportation of measure, Semigroup theory and potential theory. In recent years, A new symbiosis with the theory of stochastic calculus is emerging.in a few recent works, By developing a novel approach of pathwise analysis, My coauthors and i managed to make progress in several central high-dimensional problems.
That is one potential theory. When Solvency II was introduced, that was designed to increase a more efficient allocation to encourage both stronger performance and solvency.
One potential theory is that the grey son of Saddler Maker is less effective around Cheltenham than on flatter tracks such as Haydock, a hypothesis that could point Bristol De Mai towards Aintree.
Ransford, Potential theory in the complex plane, London Mathematical Society Student Texts, 28, Cambridge Univ.
These conceptual issues call for an extended discussion about a potential theory of dressing, which is not realized in the book.
As for published works, in the numerical field, there exist a number of potential-flow studies [2-5] in which the good correspondence between potential flow fields and potential theory results is clearly demonstrated.
Workshop on Potential Theory and Free Boundary Flows; August 19-27, 2003: Kiev, Ukraine.
With every potential theory there are also various pitfalls that must be navigated as they can differ slightly, or significantly, from one jurisdiction to another.
Appendices present additional proofs on related topics including potential theory, oscillating pseudopolynomials, the universal function, and local action of the Jacobian.
Recently, topology potential theory was introduced to complex network area for community detection [4].
Foundations of Potential Theory. Dover Publications, New York, 1953.

Full browser ?