Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901088 | Reports on Mathematical Physics | 2011 | 32 Pages |
Abstract
The
Î-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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
César R. De Oliveira,