کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609921 1338535 2014 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations
چکیده انگلیسی

Inspired by the penalization of the domain approach of Lions and Sznitman, we give a sense to Neumann and oblique derivatives boundary value problems for nonlocal, possibly degenerate elliptic equations. Two different cases are considered: (i) homogeneous Neumann boundary conditions in convex, possibly non-smooth and unbounded domains, and (ii) general oblique derivatives boundary conditions in smooth, bounded, and possibly non-convex domains. In each case we give appropriate definitions of viscosity solutions and prove uniqueness of solutions of the corresponding boundary value problems. We prove that these boundary value problems arise in the penalization of the domain limit from whole space problems and obtain as a corollary the existence of solutions of these problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 4, 15 February 2014, Pages 1368–1394
نویسندگان
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