Hassan Emamirad, Mohamed-Reza Mokhtarzadeh
Abstract:
This article concerns the Laplacian on a perturbed unit
disk
,
with dynamical boundary condition whose solution can be represented
by a Dirichlet-to-Neumann semigroup. By neglecting the terms of order
, we obtain a simple expression which allows us to use
the Chernoff's theorem for its approximation. As a motivation for
this research, we present an example which shows the feasibility of applying
of Chernoff's Theorem.
Submitted June 19, 2012. Published September 18, 2012.
Math Subject Classifications: 35J25, 47F05, 47D06.
Key Words: Dirichlet-to-Neumann operator, gamma-harmonic lifting.
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Hassan Emamirad School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran email: emamirad@ipm.ir | |
Mohamed-Reza Mokhtarzadeh School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran email: mrmokhtarzadeh@ipm.ir |
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