TY - JOUR

T1 - Radiation condition and uniqueness for the outgoing elastic wave in a half-plane with free boundary

AU - Durán, Mario

AU - Muga, Ignacio

AU - Nédélec, Jean Claude

N1 - Funding Information:
This research is supported by the project Anillo ADI30, CONICYT/World Bank (Chile).

PY - 2009/11

Y1 - 2009/11

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=71749095728&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2009.10.005

DO - 10.1016/j.crma.2009.10.005

M3 - Article

AN - SCOPUS:71749095728

SN - 1631-073X

VL - 347

SP - 1321

EP - 1324

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 21-22

ER -