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dc.contributor.authorArbuzov, E. V.
dc.contributor.authorBukhgeim, A. A.
dc.contributor.authorBukhgeym, Alexander L.
dc.date.accessioned2013-07-23T16:27:59Z
dc.date.available2013-07-23T16:27:59Z
dc.date.issued2008
dc.identifier.citationArbuzov, E. V.; Bukhgeim, A. A.; Bukhgeim, A. L. 2008. The Carleman formula and recovering the refractive index of the two-dimensional Helmholtz equation. Proceedings of the International Conference on Mathematical Methods in Geophysics “MMG-2008". Akademgorodok, Novosibirsk, Russia, October 13-15, 2008 : 1-6.en_US
dc.identifier.urihttp://hdl.handle.net/10057/6025
dc.description.abstractWe consider the Cauchy problem for the Helmholtz equation with given bounded refrac- tive index in an arbitrary planar domain with Cauchy data only on part of the boundary of the domain. We derive a Carleman-type formula for a solution to this problem. From another side we obtain the inversion formula for smooth unknown refractive index using the Cauchy date set on the boundary. Based of this inversion formula we numerically reconstruct the refractive index on the unit disk.en_US
dc.language.isoen_USen_US
dc.relation.ispartofseriesInternational Conference on Mathematical Methods in Geophysics;2008
dc.titleThe Carleman formula and recovering the refractive index of the two-dimensional Helmholtz equationen_US
dc.typeConference paperen_US


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