Abstract
We study the 2-D Helmholtz equation in perturbed stratified media,allowing the existence of guided waves. Our assumptions on theperturbing and source terms are not too restrictive.We prove two results. Firstly, we introduce a Sommerfeld-Rellichradiation condition and prove the uniqueness of the solution for thestudied equation. Then, by careful asymptotic estimates, we provethe existence of a bounded solution satisfying our radiationcondition.
| Lingua originale | English |
|---|---|
| pagine (da-a) | 1592-1606 |
| Numero di pagine | 15 |
| Rivista | Communications in Partial Differential Equations |
| Volume | 34 |
| Stato di pubblicazione | Published - 2009 |
All Science Journal Classification (ASJC) codes
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- ???subjectarea.asjc.2600.2604???