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math.AP 1

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2026 1

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Integral Equation Methods for Scattering by Multifractal Obstacles

math.AP · 2026-05-19 · unverdicted · novelty 7.0

Extends operator-equation formulations for sound-soft scattering to multifractal obstacles via Radon measures, establishes equivalence to integral equations under trace and singular-integral conditions, and proves Galerkin convergence for unions of d-sets including IFS attractors.

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  • Integral Equation Methods for Scattering by Multifractal Obstacles math.AP · 2026-05-19 · unverdicted · none · ref 34

    Extends operator-equation formulations for sound-soft scattering to multifractal obstacles via Radon measures, establishes equivalence to integral equations under trace and singular-integral conditions, and proves Galerkin convergence for unions of d-sets including IFS attractors.