Dirichlet-to-Neumann operator on the perturbed unit disk

This article concerns the Laplacian on a perturbed unit disk $Omega_epsilon={ z=rexp(iheta): r <1+epsilon f(heta) }$, 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 e...

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Bibliographic Details
Main Authors: Hassan Emamirad, Mohamed-Reza Mokhtarzadeh
Format: Article
Language:English
Published: Texas State University 2012-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/159/abstr.html