کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642090 | 1341330 | 2008 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A convergence of the approximated free boundary of regularized functionals via ΓΓ-convergence
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A convergence of the approximated free boundary of regularized functionals via ΓΓ-convergence A convergence of the approximated free boundary of regularized functionals via ΓΓ-convergence](/preview/png/4642090.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 218, Issue 2, 1 September 2008, Pages 473–481
Journal: Journal of Computational and Applied Mathematics - Volume 218, Issue 2, 1 September 2008, Pages 473–481
نویسندگان
Yoshihiko Yamaura,