mathematics, the Loewner differential equation, or Loewner equation, is an ordinary differential equation discovered by Charles Loewner in 1923 in complex...

{\displaystyle D} to D t {\displaystyle D_{t}} , then it satisfies a differential equation found by Loewner (1923, p. 121) in his work on the Bieberbach conjecture...

Charles Loewner showed that (a suitable normalization of) this uniform mapping can be described as the solution to the Loewner differential equation, which...

of the third coefficient. The technique he introduced, the Loewner differential equation, has had far-reaching implications in geometric function theory;...

Differential equations are prominent in many scientific areas. Nonlinear ones are of particular interest for their commonality in describing real-world...

constraints called the Gauss-Codazzi equations. A major theorem, often called the fundamental theorem of the differential geometry of surfaces, asserts that...

form of a stochastic difference equation (or recurrence relation) which should not be confused with a differential equation. Together with the moving-average...

The Gibbons–Tsarev equation is an integrable second order nonlinear partial differential equation. In its simplest form, in two dimensions, it may be written...

welding; however, it can also be viewed as a discretization of the Loewner differential equation. The following is known about numerically approximating the...

This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. List of curves topics...