کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773484 1413420 2017 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonhomogeneous boundary conditions for the spectral fractional Laplacian
ترجمه فارسی عنوان
شرایط مرزی غیر نامحدود برای لپلاسهای کسر طیفی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
We present a construction of harmonic functions on bounded domains for the spectral fractional Laplacian operator and we classify them in terms of their divergent profile at the boundary. This is used to establish and solve boundary value problems associated with nonhomogeneous boundary conditions. We provide a weak-L1 theory to show how problems with measure data at the boundary and inside the domain are well-posed. We study linear and semilinear problems, performing a sub- and supersolution method. We finally show the existence of large solutions for some power-like nonlinearities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 34, Issue 2, March–April 2017, Pages 439-467
نویسندگان
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