A Neumann series representation for solutions to boundary-value problems in dynamic elasticity

Ahner, John F.; Hsiao, George C.

doi:10.1090/qam/449124

Authors: John F. Ahner and George C. Hsiao
Journal: Quart. Appl. Math. 33 (1975), 73-80
MSC: Primary 73.45
DOI: https://doi.org/10.1090/qam/449124
MathSciNet review: 449124
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Abstract: A regularized integral equation formulation for two exterior fundamental boundary-value problems in elastodynamics is presented. In either case, the displacement vector is assumed to be harmonic in time with a small frequency. It is shown that the solution can be expressed as a Neumann series in terms of the prescribed function; moreover, a sufficient condition for the convergence of the series is established.

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