Asymptotic behaviour of eigenfunctions in a thin cylinder with distorted ends
作者： Tiziana Durante
DOI: 10.1063/1.4825878
关键词: Mathematics 、 Geometry 、 Lateral side 、 Zero (complex analysis) 、 Laplace operator 、 Eigenfunction 、 Boundary value problem 、 Cylinder 、 Dirichlet conditions 、 Mathematical analysis
摘要: We consider a mixed boundary value problem for the Laplace operator in straight cylinder with curved ends Dirichlet conditions on lateral side. prove that when ratio between diameter and length of tends to zero, principal eigenfunction concentrates vicinity decays exponentially interior.
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