Increasing stability for near field from the scattering amplitude
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🧮 math.AP
keywords
fieldstabilityestimatesincreasingnearamplitudeboundsconstants
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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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