The Helmholtz Equation in a Locally Perturbed Half-Space with Non-Absorbing Boundary

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dc.contributor.authorDuran, Mario
dc.contributor.authorMuga, Ignacio
dc.contributor.authorNedelec, Jean-Claude
dc.date.accessioned2025-01-21T01:04:53Z
dc.date.available2025-01-21T01:04:53Z
dc.date.issued2009
dc.description.abstractWe obtain uniqueness and existence results of an outgoing solution for the Helmholtz equation in a half-space, or in a compact local perturbation of it, with an impedance boundary condition. It is worth noting that these kinds of domains have unbounded boundaries which lead to a non-classical exterior problem. The established radiation condition is somewhat different from the usual Sommerfeld's one, due to the appearance of surface waves (in the case of a non-absorbing boundary). A half-space Green's function framework is used to carry out our computations. This is an extended and detailed version of the previous article "The Helmholtz equation with impedance in a half-space," Duran et al. (CR Acad Sci Paris Ser I 341:561-566, 2005).
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00205-008-0135-3
dc.identifier.issn0003-9527
dc.identifier.urihttps://doi.org/10.1007/s00205-008-0135-3
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95722
dc.identifier.wosidWOS:000260765700003
dc.issue.numero1
dc.language.isoen
dc.pagina.final172
dc.pagina.inicio143
dc.revistaArchive for rational mechanics and analysis
dc.rightsacceso restringido
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleThe Helmholtz Equation in a Locally Perturbed Half-Space with Non-Absorbing Boundary
dc.typeartículo
dc.volumen191
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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