Nonlocal Venttsel' diffusion in fractal-type domains: regularity results and numerical approximation

Autor:	Cefalo, Massimo, Creo, Simone, Lancia, Maria Rosaria, Vernole, Paola
Rok vydání:	2017
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We study a nonlocal Venttsel' problem in a non-convex bounded domain with a Koch-type boundary. Regularity results of the strict solution are proved in weighted Sobolev spaces. The numerical approximation of the problem is carried out and optimal a priori error estimates are obtained. Comment: 32 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.00969 Zobrazit plný text záznamu View this record from Arxiv