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math.AP2026
Integral equation methods for scattering by general compact obstacles: wavenumber-explicit estimates
Simon N. Chandler-Wilde, Siavash Sadeghi
There has been significant recent interest in understanding the dependence on the wavenumber, , of boundary integral operators (BIOs), supported on some set $Î\subset \mathbb{R…
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
The cut-off resolvent can grow arbitrarily fast in obstacle scattering
Simon N. Chandler-Wilde, Siavash Sadeghi
We consider time-harmonic acoustic scattering by a compact sound-soft obstacle () that has connected complement . T…