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math.AP2026
Integral Equation Methods for Scattering by Multifractal Obstacles
Simon N. Chandler-Wilde, Gabriel Claret, David P. Hewett +2
Caetano et al. (Proc. R. Soc. A. 481:20230650, 2025) have proposed a formulation for sound-soft acoustic scattering by a compact scatterer O Rn, in which the scattered fi…
math.AP2026
Helmholtz transmission problem and intrinsic impedance scattering problem on extension domains
Gabriel Claret
We consider a transmission problem for the Helmholtz equation with a fixed, positive wavenumber across the boundary of an extension domain. Such a boundary can be Lipschitz, fracta…