This paper shows that under the assumption of the out-going radiation conditions at infinity, the time-harmonic acoustic scattered field off a sound-soft solid in a shallow ocean with a fluid-like seabed is unique in C2 (M1) C2 < (M2) C(Rh3 \ ). Here M1 is the water part, M2 the seabed, Rh3 the waveguide and the solid object. The associated modal problem is studied and a representation formula for the solution in terms of the Green's function is derived.
Institute for Mathematics and Its Applications>IMA Preprints Series
Gilbert, Robert P.; Ou, Miao-jung.
A uniqueness theorem of the 3-dimensional acoustic scattering problem in a shallow ocean with a fluid-like seabed.
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