14 research outputs found
Radiating and non-radiating sources in elasticity
Full text linkIn this work, we study the inverse source problem of a fixed frequency for
the Navier's equation. We investigate that nonradiating external forces. If the
support of such a force has a convex or non-convex corner or edge on their
boundary, the force must be vanishing there. The vanishing property at corners
and edges holds also for sufficiently smooth transmission eigenfunctions in
elasticity. The idea originates from the enclosure method: The energy identity
and new type exponential solutions for the Navier's equation.Comment: 17 page
Stable determination of polygonal inclusions in CalderĂłnâs problem by a single partial boundary measurement
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On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study
No full textStability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials
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Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem
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