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

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

2009-09-09

arxiv.org/abs/0909.1662v1

Mathematics

Analysis of PDEs

15 pages, 1 figure

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A radiation condition for the 2-D Helmholtz equation in stratified media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A radiation condition for the 2-D Helmholtz equation in stratified media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A radiation condition for the 2-D Helmholtz equation in stratified media will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-385867