کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592745 | 1335139 | 2008 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Improved Gagliardo–Nirenberg–Sobolev inequalities on manifolds with positive curvature
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Improved Gagliardo–Nirenberg–Sobolev inequalities on manifolds with positive curvature Improved Gagliardo–Nirenberg–Sobolev inequalities on manifolds with positive curvature](/preview/png/4592745.png)
چکیده انگلیسی
We apply the method of [J. Demange, From porous media equation to generalized Sobolev inequalities on a Riemannian manifold, preprint, http://www.lsp.ups-tlse.fr/Fp/Demange/, 2004] and [J. Demange, Porous Media equation and Sobolev inequalities under negative curvature, preprint, http://www.lsp.ups-tlse.fr/Fp/Demange/, 2004], based on the curvature–dimension criterion and the study of Porous Media equation, to the case of a manifold M with strictly positive Ricci curvature. This gives a new way to prove classical Sobolev inequalities on M. Moreover, this enables to improve non-critical Sobolev inequalities as well. As an application, we study the rate of convergence of the solutions of the Porous Media equation to the equilibrium.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 254, Issue 3, 1 February 2008, Pages 593-611
Journal: Journal of Functional Analysis - Volume 254, Issue 3, 1 February 2008, Pages 593-611