Radiation condition and uniqueness for the outgoing elastic wave in a half-plane with free boundary

Mario Durán, IGNACIO PATRICIO PEDRO MUGA URQUIZA, Jean Claude Nédélec

Research output: Contribution to journalArticlepeer-review

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Abstract

In this Note we deduce an explicit Sommerfeld-type radiation condition which is convenient to prove the uniqueness for the time-harmonic outgoing wave problem in an isotropic elastic half-plane with free boundary condition. The expression is obtained from a rigorous asymptotic analysis of the associated Green's function. The main difficulty is that the free boundary condition allows the propagation of a Rayleigh wave which cannot be neglected in the far field expansion. We also give the existence result for this problem. To cite this article: M. Durán et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).

Original languageEnglish
Pages (from-to)1321-1324
Number of pages4
JournalComptes Rendus Mathematique
Volume347
Issue number21-22
DOIs
StatePublished - 1 Jan 2009

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