Data di Pubblicazione:
2009
Citazione:
A radiation condition for the 2-D Helmholtz equation in stratified media / G. Ciraolo. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 34:12(2009), pp. PII 916455839.1592-PII 916455839.1606.
Abstract:
We study the 2-D Helmholtz equation in perturbed stratified media, allowing the existence of guided waves. Our assumptions on the perturbing and source terms are not too restrictive. We prove two results. Firstly, we introduce a Sommerfeld-Rellich radiation condition and prove the uniqueness of the solution for the studied equation. Then, by careful asymptotic estimates, we prove the existence of a bounded solution satisfying our radiation condition.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Green function; Helmholtz equation; Radiation condition
Elenco autori:
G. Ciraolo
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