Article ID Journal Published Year Pages File Type
1901088 Reports on Mathematical Physics 2011 32 Pages PDF
Abstract
The Γ-convergence of lower bounded quadratic forms is used to study the singular operator limit of thin tubes (i.e. the vanishing of the cross-section diameter) of the Laplace operator with Dinchlet boundary conditions; a procedure to obtain the effective Schrödinger operator (in different subspaces) is proposed, generalizing recent results in case of compact tubes. Finally, after scaling curvature and torsion the limit of a broken line is briefly investigated.
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Physical Sciences and Engineering Mathematics Mathematical Physics
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