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Volume 19, Issue 4
The Limiting Absorption Method for a Transmission Problem in Acoustic Scattering

Souilah Messaoud

J. Part. Diff. Eq., 19 (2006), pp. 359-368.

Published online: 2006-11

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  • Abstract

The limiting absorption principle is used to solve the scattering problem of time harmonic acoustic waves by penetrable objects in Sobolev spaces. The method is based on integral representation of the solution using the Green's kernel of the Helmholtz equation.

  • Keywords

Limiting absorption principle Helmholtz equation exterior domains Sommerfeld radiation condition Rellich lemma

  • AMS Subject Headings

65R20 78A45 76M15.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-19-359, author = {Souilah Messaoud }, title = {The Limiting Absorption Method for a Transmission Problem in Acoustic Scattering}, journal = {Journal of Partial Differential Equations}, year = {2006}, volume = {19}, number = {4}, pages = {359--368}, abstract = {

The limiting absorption principle is used to solve the scattering problem of time harmonic acoustic waves by penetrable objects in Sobolev spaces. The method is based on integral representation of the solution using the Green's kernel of the Helmholtz equation.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5338.html} }
TY - JOUR T1 - The Limiting Absorption Method for a Transmission Problem in Acoustic Scattering AU - Souilah Messaoud JO - Journal of Partial Differential Equations VL - 4 SP - 359 EP - 368 PY - 2006 DA - 2006/11 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5338.html KW - Limiting absorption principle KW - Helmholtz equation KW - exterior domains KW - Sommerfeld radiation condition KW - Rellich lemma AB -

The limiting absorption principle is used to solve the scattering problem of time harmonic acoustic waves by penetrable objects in Sobolev spaces. The method is based on integral representation of the solution using the Green's kernel of the Helmholtz equation.

Souilah Messaoud . (2006). The Limiting Absorption Method for a Transmission Problem in Acoustic Scattering. Journal of Partial Differential Equations. 19 (4). 359-368. doi:
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