Asymptotics of a spectral-sieve problem

详细信息    查看全文

• 作者：Youcef Amirat^a ; ^{Youcef.Amirat@math.univ-bpclermont.fr" class="auth_mail" title="E-mail the corresponding author} ; Olivier Bodart^a ; ^{Olivier.Bodart@math.univ-bpclermont.fr" class="auth_mail" title="E-mail the corresponding author} ; Gregory A. Chechkin^b ; ^{chechkin@mech.math.msu.su" class="auth_mail" title="E-mail the corresponding author} ; Andrey L. Piatnitski^c ; ^d ; ^{andrey@sci.lebedev.ru" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Steklov spectral problem ; Homogenization
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：15 March 2016
• 年：2016
• 卷：435
• 期：2
• 页码：1652-1671
• 全文大小：543 K

文摘

In a bounded domain with a thin periodically punctured interface we study the limit behavior of the bottom of spectrum for a Steklov type spectral problem, the Steklov boundary condition being imposed on the perforation surface. For a certain range of parameters we construct the effective spectral problem and justify the convergence of eigenpairs.