Regularity theory information

this concept. Fernández-Real, Xavier; Ros-Oton, Xavier (2022-12-06). Regularity Theory for Elliptic PDE. arXiv:2301.01564. doi:10.4171/ZLAM/28. ISBN 978-3-98547-028-0...

In mathematics, the axiom of regularity (also known as the axiom of foundation) is an axiom of Zermelo–Fraenkel set theory that states that every non-empty...

function Regularity conditions arise in the study of first class constraints in Hamiltonian mechanics Regularity of an elliptic operator Regularity theory of...

Statistical regularity is a notion in statistics and probability theory that random events exhibit regularity when repeated enough times or that enough...

nomic regularity theories, the regularities take the forms of laws of nature studied by science. Counterfactual theories focus not on regularities but on...

differential geometry, with a number of fundamental contributions to the regularity theory of minimal surfaces and harmonic maps. In 1976, Schoen and Shing-Tung...

Caffarelli University of Texas at Austin "For his seminal contributions to regularity theory for nonlinear partial differential equations including free-boundary...

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any...

philosophy. In the philosophy of science, he is notable for developing the regularity theory of causation, which in its strongest form states that causation is...

work was on the aim to develop a regularity theory for minimal hypersurfaces, changing how we view the advanced theory of minimal surfaces and calculus...

regularity theory of the Navier−Stokes equations is, as of 2021, a well-known open problem. In the 1930s, Charles Morrey found the basic regularity theory...

for his contributions to the fields of calculus of variations and regularity theory of partial differential equation. He is currently professor of Mathematics...

principle is valid, but it requires a sophisticated application of the regularity theory for elliptic partial differential equations; see Jost and Li–Jost...

theoretically sustained by a perceptually adequate formalization of visual regularity, a quantitative account of viewpoint dependencies, and a powerful form...

1975, and utilised the Szemerédi regularity lemma, an essential technique in the resolution of extremal graph theory problems. A proper (vertex) coloring...

The techniques used by Richard Schoen and Uhlenbeck to study the regularity theory of harmonic maps have likewise been the inspiration for the development...

axiom—too strong for set theory) to develop set theory with its usual operations and constructions outlined above. The axiom of regularity is of a restrictive...

topological quantum field theory and integrable systems. Together with Jonathan Sacks in the early 1980s, Uhlenbeck established regularity estimates that have...

case for the theory in his 1956 paper Studies in the quantity theory of money. Later, Friedman wrote in 1987 that the empirical regularity of a "connection...

has a given interesting property? This idea can be defined as partition regularity. For example, consider a complete graph of order n; that is, there are...

Probability theory is also used to describe the underlying mechanics and regularities of complex systems. When dealing with random experiments – i.e., experiments...

An attachment theory is a psychological, evolutionary, and ethological theory concerning relationships between humans. The most important tenet is that...

formulation included only the first four of these, omitting the axiom of regularity. If two classes have the same elements, then they are equal. ∀ x ( x ∈...