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For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering

For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering

It is well‐known that when the geometry and/or coefficients allow stable trapped rays, the outgoing solution operator of the Helmholtz equation grows exponentially through a sequence of real frequencies tending to infinity. In this paper we show that, even in the presence of the strongest possible trapping, if a set …