23 citations · 66 across the 17 of their papers we have counts for
4 papers · 1 filter
On the curvature of some free boundaries in higher dimensions
Björn Gustafsson, Makoto Sakai
It is known that any subharmonic quadrature domain in two dimensions satisfies a natural inner ball condition, in other words there is a specific upper bound on the curvature of th…
On the dynamics of roots and poles for solutions of the Polubarinova-Galin equation
Björn Gustafsson, Yu-Lin Lin
We study the dynamics of roots of f'(z,t), where f(z,t) is a locally univalent polynomial solution of the Polubarinova-Galin equation for the evolution of the conformal map onto a…
On the exponential transform of multi-sheeted algebraic domains
Björn Gustafsson, Vladimir G. Tkachev
We introduce multi-sheeted versions of algebraic domains and quadrature domains, allowing them to be branched covering surfaces over the Riemann sphere. The two classes of domains…
On the exponential transform of lemniscates
Björn Gustafssom, Vladimir G. Tkachev
It is known that the exponential transform of a quadrature domain is a rational function for which the denominator has a certain separable form. In the present paper we show that t…