Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering
Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering
We prove wavenumber-explicit bounds on the Dirichlet-to-Neumann map for the Helmholtz equation in the exterior of a bounded obstacle when one of the following three conditions holds: (i) the exterior of the obstacle is smooth and nontrapping, (ii) the obstacle is a nontrapping polygon, or (iii) the obstacle is star-shaped …