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arXiv · 1312.7596

Increasing stability for near field from the scattering amplitude

Victor Isakov
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Abstract

We obtain stability estimates (with explicit constants) for the near field from the far field of a radiating solution of the Helmholtz equation. These estimates are based on new bounds for Hankel functions and quantify increasing stability when the wave number grows.

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Victor Isakov. 2013-12-29. Increasing stability for near field from the scattering amplitude. https://arxiv.org/abs/1312.7596

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