کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4592753 1335139 2008 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gradient estimates for a degenerate parabolic equation with gradient absorption and applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Gradient estimates for a degenerate parabolic equation with gradient absorption and applications
چکیده انگلیسی

Qualitative properties of non-negative solutions to a quasilinear degenerate parabolic equation with an absorption term depending solely on the gradient are shown, providing information on the competition between the nonlinear diffusion and the nonlinear absorption. In particular, the limit as t→∞ of the L1-norm of integrable solutions is identified, together with the rate of expansion of the support for compactly supported initial data. The persistence of dead cores is also shown. The proof of these results strongly relies on gradient estimates which are first established.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 254, Issue 3, 1 February 2008, Pages 851-878