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dc.contributor.authorArbuzov, E. V.
dc.contributor.authorBukhgeym, Alexander L.
dc.identifier.citationArbuzov, É. and A. Bukhgeim (2006). "The Carleman formula for the Helmholtz equation on the plane." Siberian Mathematical Journal 47(3): 425-432.en_US
dc.descriptionClick on the DOI link to access the article (may not be free)en_US
dc.descriptionTranslated from Russian.
dc.description.abstractWe consider the Cauchy problem for the Helmholtz equation in an arbitrary bounded 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 and give a conditional stability estimate.en_US
dc.description.sponsorshipThe first author was supported by the Russian Foundation for Basic Research (Grant 05-01-00250a) and the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-7157.2006.1); the second author was supported by NSF (Grant DMS-0505470).
dc.publisherSpringer Science+Business Media, Inc.en_US
dc.relation.ispartofseriesSiberian Mathematical Journal;v.47 no.3
dc.subjectCauchy problemen_US
dc.subjectHelmholtz equation
dc.subjectCarleman formula
dc.titleThe Carleman formula for the Hemholtz equation on the planeen_US
dc.rights.holderOriginal Russian Text Copyright © 2006 Arbuzov É. V. and Bukhgeĭm A. L.

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