The Asymptotic Behavior of Solutions of the Second Boundary Value Problem Under Fragmentation of the Boundary of the Domain
The Asymptotic Behavior of Solutions of the Second Boundary Value Problem Under Fragmentation of the Boundary of the Domain
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域边界破碎下第二边值问题解的渐近行为
DOI：
10.1070/sm1979v035n02abeh001474
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发表时间：
1979
期刊：
影响因子：
--
通讯作者：
E. J. Hruslov
中科院分区：
文献类型：
--
作者：
E. J. Hruslov
第二个边值问题被考虑为复杂结构域中的方程，其中 是一个封闭的细分集，位于域 () 中。该问题的解的渐近行为被研究为 ，当 变得越来越细分并且位于 时，到任意点的距离趋于零。证明了在特定条件下收敛于一个函数，该函数是共轭问题的解。制定了收敛的充分条件。参考书目：9 篇。
The second boundary value problem is considered for the equation in a domain of complicated structure of the form , where is a closed finely partitioned set lying in a domain () for all . The asymptotic behavior of a solution of this problem is studied as , when becomes more and more finely divided and is situated in so that the distance from to any point tends to zero. It is proved that under specific conditions converges in to a function that is a solution of a conjugation problem. Sufficient conditions for convergence are formulated.Bibliography: 9 titles.