The limiting equation for Neumann Laplacians on shrinking domains
Let ${Omega_{epsilon} }_{0 < epsilon le1}$ be an indexed family of connected open sets in ${mathbb R}^2$, that shrinks to a tree $Gamma$ as $epsilon$ approaches zero. Let $H_{Omega_{epsilon}}$ be the Neumann Laplacian and $f_{epsilon}$ be the restriction of an $L^2(Omega_1)$ function to $Omega_{e...
Main Author: | Yoshimi Saito |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2000-04-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2000/31/abstr.html |
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