کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590814 | 1334986 | 2011 | 37 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hölder estimates for singular non-local parabolic equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this paper, we establish local Hölder estimate for non-negative solutions of the singular equation (M.P) below, for m in the range of exponents . Since we have trouble in finding the local energy inequality of v directly, we use the fact that the operator σ(−Δ) can be thought as the normal derivative of some extension v⁎ of v to the upper half space (Caffarelli and Silvestre, 2007 [5]), i.e., v is regarded as boundary value of v⁎ the solution of some local extension problem. Therefore, the local Hölder estimate of v can be obtained by the same regularity of v⁎. In addition, it enables us to describe the behavior of solution of non-local fast diffusion equation near their extinction time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 261, Issue 12, 15 December 2011, Pages 3482-3518
Journal: Journal of Functional Analysis - Volume 261, Issue 12, 15 December 2011, Pages 3482-3518