Resonances for multistratified acoustic waveguides
β Scribed by Dermenjian, Y.; Poisson, O.; Vainberg, B.
- Book ID
- 121262517
- Publisher
- Taylor and Francis Group
- Year
- 1998
- Tongue
- English
- Weight
- 999 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0003-6811
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π SIMILAR VOLUMES
We consider the acoustic propagator A"! ) c in the strip "+(x, z)31"0(z(H, with finite width H'0. The celerity c depends for large "x" only on the variable z and describes the stratification of : it is assumed to be in ΒΈ( ), bounded from below by c '0, such that there exists M'0 with c(x, z)"c (z) i
Let N( ) be the counting function of the eigenvalues associated with the self-adjoint operator !( (x, z) )) in the domain "1;]0, h[, h'0, with Neuman or Dirichlet conditions at z"0, h. If "1 in the exterior of a bounded rectangular region O, that is, for "x" large, then N( ) is known to be sublinear