کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774908 1413570 2017 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A complete characterization of extinction versus positivity of solutions to a parabolic problem of p-Laplacian type in graphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A complete characterization of extinction versus positivity of solutions to a parabolic problem of p-Laplacian type in graphs
چکیده انگلیسی
This work is concerned with the extinction and positivity properties of solutions to the discrete p-Laplacian parabolic equation ut=Δp,ωu−f(u), p>1 with a nonlinear absorption on a weighted graph. We provide a complete characterization for f to see when we have an extinctive solution or a positive solution. In addition, the extinction time is estimated for the extinctive solutions, and the decay rate is given to the positive solutions. Finally, we give several numerical examples which illustrate the main results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 452, Issue 1, 1 August 2017, Pages 226-245
نویسندگان
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