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math.AP2017
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis
Simon N. Chandler-Wilde, Euan A. Spence, Andrew Gibbs +1
This paper is concerned with resolvent estimates on the real axis for the Helmholtz equation posed in the exterior of a bounded obstacle with Dirichlet boundary conditions when the…
math.AP2017★ 7 cited
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions
Andrea Moiola, Euan A. Spence
We consider the Helmholtz transmission problem with one penetrable star-shaped Lipschitz obstacle. Under a natural assumption about the ratio of the wavenumbers, we prove bounds on…