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Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation
We study time-harmonic scattering in [Formula: see text] ([Formula: see text]) by a planar screen (a “crack” in the context of linear elasticity), assumed to be a non-empty bounded relatively open subset [Formula: see text] of the hyperplane [Formula: see text], on which impedance (Robin) boundary conditions are imposed. In …