کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774052 | 1413542 | 2017 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Smoothing effects for the filtration equation with different powers
ترجمه فارسی عنوان
اثرات صاف برای معادله فیلتراسیون با قدرت های مختلف
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
We study the nonlinear diffusion equation ut=ÎÏ(u) on general Euclidean domains, with homogeneous Neumann boundary conditions. We assume that Ïâ²(u) is bounded from below by |u|m1â1 for small |u| and by |u|m2â1 for large |u|, the two exponents m1,m2 being possibly different and larger than one. The equality case corresponds to the well-known porous medium equation. We establish sharp short- and long-time Lq0-Lâ smoothing estimates: similar issues have widely been investigated in the literature in the last few years, but the Neumann problem with different powers had not been addressed yet. This work extends some previous results in many directions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 6, 15 September 2017, Pages 3291-3326
Journal: Journal of Differential Equations - Volume 263, Issue 6, 15 September 2017, Pages 3291-3326
نویسندگان
Alin Razvan Fotache, Matteo Muratori,