Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering
نویسندگان
چکیده
منابع مشابه
Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering
We prove wavenumber-explicit bounds on the Dirichlet-to-Neumann map for the Helmholtz equation in the exterior of a bounded obstacle when one of the following three conditions holds: (i) the exterior of the obstacle is smooth and nontrapping, (ii) the obstacle is a nontrapping polygon, (iii) the obstacle is star-shaped and Lipschitz. We prove bounds on the Neumann-to-Dirichlet map when one of c...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2014
ISSN: 0036-1410,1095-7154
DOI: 10.1137/130932855