کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614748 1339298 2015 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlocal diffusion equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Nonlocal diffusion equations
چکیده انگلیسی

In this paper we present a variational approach to establish the existence and uniqueness of variational solutions to nonlocal evolutionary problems. The model we have in mind is the following nonlocal version of the parabolic p-Laplacianut−div[a(‖Du(t)‖Lp(Ω)p)|Du|p−2Du]=h, which has recently attracted many authors. We emphasize that our approach also applies in situations where the considered functionals do not allow the derivation of the associated Euler–Lagrange equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 432, Issue 1, 1 December 2015, Pages 398–428
نویسندگان
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