TY - JOUR
T1 - L'équation de Helmholtz avec impédance dans un demi-plan
AU - Durán, Mario
AU - Muga, Ignacio
AU - Nédélec, Jean Claude
N1 - Funding Information:
This work was supported by the Fondecyt Project # 1030480, the ECOS/Conicyt Project # C03-E08 and the Conicyt fellowship for doctorate students. Ignacio Muga wants to thank, particularly, the DIM of the Universidad de Chile.
PY - 2005/4/1
Y1 - 2005/4/1
N2 - This Note gives answers to the uniqueness and existence questions for solutions of the Helmholtz equation in an half-plane with an impedance or mixed boundary condition. We deal with unbounded domains which boundaries are unbounded too. The radiation conditions are different from the ones that we found in an usual exterior problem due to the appearance of surface waves. We first compute and study the half-plane Green's function to see how the solutions behave at infinity, and second obtain integral representation for these solutions.
AB - This Note gives answers to the uniqueness and existence questions for solutions of the Helmholtz equation in an half-plane with an impedance or mixed boundary condition. We deal with unbounded domains which boundaries are unbounded too. The radiation conditions are different from the ones that we found in an usual exterior problem due to the appearance of surface waves. We first compute and study the half-plane Green's function to see how the solutions behave at infinity, and second obtain integral representation for these solutions.
UR - http://www.scopus.com/inward/record.url?scp=15944390505&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2005.02.015
DO - 10.1016/j.crma.2005.02.015
M3 - Article
AN - SCOPUS:15944390505
VL - 340
SP - 483
EP - 488
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
SN - 1631-073X
IS - 7
ER -