Displaying similar documents to “A sufficient condition for univalency.”

The Löwner-Kufarev representations for domains with analytic boundaries

Dmitri Prokhorov (2011)

Annales UMCS, Mathematica


We consider the Löwner-Kufarev differential equations generating univalent maps of the unit disk onto domains bounded by analytic Jordan curves. A solution to the problem of the maximal lifetime shows how long a representation of such functions admits using infinitesimal generators analytically extendable outside the unit disk. We construct a Löwner-Kufarev chain consisting of univalent quadratic polynomials and compare the Löwner-Kufarev representations of bounded and arbitrary univalent...