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

Souilah Messaoud

DOI:

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 = {}, 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} }
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