论文标题
与域的部分知识有关的锯齿蛋白型问题
A Serrin-type problem with partial knowledge of the domain
论文作者
论文摘要
我们提供了径向对称配置的定量估计值，该配置涉及锯齿蛋白型的过度确定问题，即在有界域$ω$中的扭转刚度，仅在$ω\ setminus \ setminus \ edmiminus \ edline $上仅知道方程，仅对于某些开放的子集$ω\子集$ω\子集$。这个问题具有最佳加热的具体动机，并具有较小的不均匀性的层流和横梁。
We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain $Ω$, when the equation is known on $Ω\setminus \overlineω$ only, for some open subset $ω\Subset Ω$. The problem has concrete motivations in optimal heating with malfunctioning, laminar flows and beams with small inhomogeneities.
