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arxiv: 1506.05563 · v1 · pith:TCLW3HPVnew · submitted 2015-06-18 · 🧮 math.SP

Asymptotic behavior of singular values of the acoustic observation problem

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keywords problemsingularvaluesacousticasymptoticasymptoticsbehaviorboundary
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We consider the problem of recovering of initial data in the IBVP for the wave-type equation in the half-space by the solution restricted to the boundary. The singular value decomposition of this problem is concerned: the asymptotics of singular values is obtained.

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