Abstract:We are concerned with a coupled-physics spectral problem arising in the coupled propagation of acoustic and elastic waves, which is referred to as the acoustic-elastic transmission eigenvalue problem. There are two major contributions in this work which are new to the literature. First, in a general scenario, we prove the existence of infinitely many acoustic-elastic transmission eigenvalues. Second, we establish a geometric rigidity result of the transmission eigenfunctions by showing that they tend to locali… Show more
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