کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417096 1338528 2015 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dirichlet-to-Neumann maps on bounded Lipschitz domains
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Dirichlet-to-Neumann maps on bounded Lipschitz domains
چکیده انگلیسی

The Dirichlet-to-Neumann map associated to an elliptic partial differential equation becomes multivalued when the underlying Dirichlet problem is not uniquely solvable. The main objective of this paper is to present a systematic study of the Dirichlet-to-Neumann map and its inverse, the Neumann-to-Dirichlet map, in the framework of linear relations in Hilbert spaces. Our treatment is inspired by abstract methods from extension theory of symmetric operators, utilizes the general theory of linear relations and makes use of some deep results on the regularity of the solutions of boundary value problems on bounded Lipschitz domains.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 5903-5926
نویسندگان
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