Well-Posed PDE and Integral Equation Formulations for Scattering by Fractal Screens
Well-Posed PDE and Integral Equation Formulations for Scattering by Fractal Screens
We consider time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens embedded in ${R}^n$ for n=2 or 3. In contrast to previous studies in which the screen is assumed to be a bounded Lipschitz (or smoother) relatively open subset of the plane, we consider screens occupying arbitrary bounded …