کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772395 | 1413366 | 2017 | 40 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Relaxation and optimization for linear-growth convex integral functionals under PDE constraints
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We give necessary and sufficient conditions for the minimality of generalized minimizers of linear-growth integral functionals of the formF[u]=â«Î©f(x,u(x))dx,u:ΩâRdâRN, where f:ΩÃRNâR is a convex integrand and u is an integrable function satisfying a general PDE constraint. Our analysis is based on two ideas: a relaxation argument into a subspace of the space of bounded vector-valued Radon measures M(Ω;RN), and the introduction of a set-valued pairing on M(Ω;RN)ÃLâ(Ω;RN). By these means we are able to show an intrinsic relation between minimizers of the relaxed problem and maximizers of its dual formulation also known as the saddle-point conditions. In particular, our results can be applied to relaxation and minimization problems in BV, BD and divergence-free spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 273, Issue 7, 1 October 2017, Pages 2388-2427
Journal: Journal of Functional Analysis - Volume 273, Issue 7, 1 October 2017, Pages 2388-2427
نویسندگان
Adolfo Arroyo-Rabasa,