Asymptotics of scattering poles for two strictly convex obstacles (Q2751496)

The author studied the initial-boundary value problem for the following wave equation in \(\Omega\) NEWLINE\[NEWLINE\begin{cases} {\partial^2u \over\partial t^2}-\Delta u=0 \quad & \text{in }\Omega,\\ u=0\quad & \text{on }\Gamma,\\ u(x,0)=u_0(x),\quad & {\partial u\over\partial t}(x,0)= u_1(x),\end{cases}NEWLINE\]NEWLINE where \(\Omega=\mathbb{R}^3 \setminus \{O_1\cup O_2\}\), \(O_1\) and \(O_2\) are strictly convex, \(O_1\cap O_2 \neq\emptyset\). The main problem studied in this paper is to determine the distribution of poles of the scattering matrix of the initial-boundary value problem.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00028].