期刊论文详细信息
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki | |
The estimates of the solution of the dirichlet problem with boundary function from Lp for a second-order elliptic equation | |
Anatolii K Gushchin1  | |
[1] Steklov Mathematical Institute, Russian Academy of Sciences; | |
关键词: эллиптическое уравнение; задача дирихле; функциональное пространство; | |
DOI : | |
来源: DOAJ |
【 摘 要 】
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 function from $L_p$, $p > 1$. We prove the estimate of the analogue of area integral.
【 授权许可】
Unknown