27 citations · 30 across the 5 of their papers we have counts for
3 papers · 1 filter
Transcendental Harmonic Mappings and Gravitational Lensing by Isothermal Galaxies
Dmitry Khavinson, Erik Lundberg
Using the Schwarz function of an ellipse, it was recently shown that galaxies with density constant on confocal ellipses can produce at most four ``bright'' images of a single sour…
Linearization models for parabolic dynamical systems via Abel's functional equation
Mark Elin, Dmitry Khavinson, Simeon Reich +1
We study linearization models for continuous one-parameter semigroups of parabolic type. In particular, we introduce new limit schemes to obtain solutions of Abel's functional equa…
Planar elliptic growth
Dmitry Khavinson, Mark Mineev-Weinstein, Mihai Putinar
The planar elliptic extension of the Laplacian growth is, after a proper parametrization, given in a form of a solution to the equation for area-preserving diffeomorphisms. The inf…