کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501576 | 1338752 | 2005 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Role of fundamental solutions for optimal Lipschitz extensions on hyperbolic space
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Role of fundamental solutions for optimal Lipschitz extensions on hyperbolic space Role of fundamental solutions for optimal Lipschitz extensions on hyperbolic space](/preview/png/9501576.png)
چکیده انگلیسی
In this paper we consider the problem of finding the relation between absolutely minimizing Lipschitz extension of a given function defined over a subset of the hyperbolic space and the viscosity solution of the PDE that appears from the associated variational problem. Here we have shown that the absolute minimizers can be fully characterized by a comparison principle (comparison with cones) with the fundamental solutions of the associated PDE. We have finally proved that the three properties, (i) comparison with cones, (ii) absolutely minimizing Lipschitz extension and (iii) viscosity solution of associated PDE, are equivalent.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 218, Issue 1, 1 November 2005, Pages 1-14
Journal: Journal of Differential Equations - Volume 218, Issue 1, 1 November 2005, Pages 1-14
نویسندگان
Adimurthi Adimurthi, Imran H. Biswas,