### Abstract

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 |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

### Cita questo

**A radiation condition for the 2-D Helmholtz equation in stratified media.** / Ciraolo, Giulio.

Risultato della ricerca: Article

*Communications in Partial Differential Equations*, vol. 34, pagg. 1592-1606.

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TY - JOUR

T1 - A radiation condition for the 2-D Helmholtz equation in stratified media

AU - Ciraolo, Giulio

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Equazioni alle derivate parziali; Condizione di radiazione

UR - http://hdl.handle.net/10447/40028

M3 - Article

VL - 34

SP - 1592

EP - 1606

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

SN - 0360-5302

ER -