The three dimensional inverse scattering problem for acoustic waves

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چکیده

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A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium

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We derive expressions for the shape Hessian operator of the data misfit functional corresponding to the inverse problem of inferring the shape of a scatterer from reflected acoustic waves, using a Banach space setting and the Lagrangian approach. The shape Hessian is then analyzed in both Hölder and Sobolev spaces. Using an integral equation approach and compact embeddings in Hölder and Sobolev...

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 1982

ISSN: 0022-0396

DOI: 10.1016/0022-0396(82)90108-5