TY - JOUR
T1 - Iceberg-type Problems: Estimating Hidden Parts of a Continuum from the Visible Parts
AU - Barnard, Roger
AU - Pearce, Kent
AU - Solynin, Alexander
PY - 2012/12/1
Y1 - 2012/12/1
N2 - We consider the complex plane C as a space filled by two different media, separated by the real axis R. Let H+={z: Im z > 0} be the upper half-plane. For a planar body E, the general iceberg-type problem is to estimate characteristics of the invisible part, E_=E\H+, from characteristics of the whole body E and its visible part, E+=E ∩ H+. In this paper, we find the maximal draft of E as a function of the logarithmic capacity of E and the area of E+.
AB - We consider the complex plane C as a space filled by two different media, separated by the real axis R. Let H+={z: Im z > 0} be the upper half-plane. For a planar body E, the general iceberg-type problem is to estimate characteristics of the invisible part, E_=E\H+, from characteristics of the whole body E and its visible part, E+=E ∩ H+. In this paper, we find the maximal draft of E as a function of the logarithmic capacity of E and the area of E+.
U2 - 10.1002/mana.200710056/pdf
DO - 10.1002/mana.200710056/pdf
M3 - Article
SP - 2042
EP - 2058
JO - Mathematische Nachricthen
JF - Mathematische Nachricthen
ER -