标题： 共振和障碍物散射中的球体与诺伊曼边界条件 显示英文标题

标题： Resonances and balls in obstacle scattering with Neumann boundary conditions

摘要： 我们考虑在$\Real^d$中障碍物的散射，$d\geq 3 $为奇数。 我们证明，对于诺伊曼拉普拉斯算子，如果一个障碍物具有与半径为$\rho$的球相同的共振，则该障碍物是半径为$\rho$的球。 我们给出有关由多个相同半径的球组成的不相交并集的障碍物的相关结果。 显示英文摘要

摘要： We consider scattering by an obstacle in $\Real^d$, $d\geq 3 $ odd. We show that for the Neumann Laplacian if an obstacle has the same resonances as the ball of radius $\rho$ does, then the obstacle is a ball of radius $\rho$. We give related results for obstacles which are disjoint unions of several balls of the same radius.