Asymptotics of resonances and geometry of resonance states in the problem of scattering of acoustic waves by a spherically symmetric inhomogeneity of the density

zbMath0827.34075MaRDI QIDQ1891557

Marianna A. Shubov

Publication date: 13 July 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

wave equationasymptotic formulaescattering of acoustic wavesFoias-Sz.-Nagy theory of contraction operatorsLax-Phillipslong- living resonancesproblem of the propagation of acoustic waves in a nonhomogeneous three-dimensional medium

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) General theory of ordinary differential operators (47E05) Hydro- and aero-acoustics (76Q05) Volterra integral equations (45D05) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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