%0 Journal Article
%T Dirichlet-to-Neumann operator on the perturbed unit disk
%A Hassan Emamirad
%A Mohamed-Reza Mokhtarzadeh
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X This article concerns the Laplacian on a perturbed unit disk $Omega_epsilon={ z=rexp(i heta): r <1+epsilon f( heta) }$, with dynamical boundary condition whose solution can be represented by a Dirichlet-to-Neumann semigroup. By neglecting the terms of order $epsilon^2$, we obtain a simple expression which allows us to use Chernoff's theorem for its approximation. As a motivation for this research, we present an example which shows the feasibility of applying Chernoff's Theorem.
%K Dirichlet-to-Neumann operator
%K gamma-harmonic lifting
%U http://ejde.math.txstate.edu/Volumes/2012/159/abstr.html