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 -