Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642090 | Journal of Computational and Applied Mathematics | 2008 | 9 Pages |
Abstract
We treat a variational problem with a singular term by the method of approximation via ΓΓ-convergence, which is a constructive way. It is known that the minimizers may have a free boundary in the interior of the domain. The main aim of this paper is to establish a criterion on the location of the free boundary in terms of the approximation. As a corollary, we obtain a non-degeneracy property which means that the convergence of the approximated free boundary is sharp in some sense, and show the corresponding examples in a one-dimensional linear case. In order to derive the non-degeneracy property we need a device to the choice of approximation to the singular term.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yoshihiko Yamaura,