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...

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...

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...

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

functions and in particular provides the geometric basis for the Loewner differential equation. Let Un be a sequence of open sets in C containing 0. Let Vn...