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arxiv: 2302.12962 · v1 · pith:5AEB3BHHnew · submitted 2023-02-25 · 🧮 math.AP

On uniqueness of elastic scattering from a cavity

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keywords scatteringcavitydirectdirichletelasticinverseuniquenessacute
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The paper considers direct and inverse elastic scattering from a cavity in homogeneous medium with Dirichlet and Neumann boundary conditions. For direct scattering, existence and uniqueness are derived by variation approach. For inverse scattering, Fr$\acute{\rm e}$chet derivatives of the solution operators are investigated, which give local stability for Dirichlet case.

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