The estimates of the solution of the Dirichlet problem with boundary function from Lp for a second-order elliptic equation

We study the solvability of the Dirichlet problem for a second-order elliptic equation with measurable and bounded coefficients. Assuming that coefficients of equation are Dini-continued on the boundary, it is established that there is the unique solution of the Dirichlet problem with boundary funct...

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Bibliographic Details
Main Author: A. K. Gushchin
Format: Article
Language:English
Published: Samara State Technical University 2011-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu936