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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 3, Pages 518–526 (Mi smj874)  
This article is cited in 17 scientific papers (total in 17 papers)

The Carleman formula for the Helmholtz equation on the plane

È. V. Arbuzov, A. L. Bukhgeim

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (212 kB) Citations (17)
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Abstract: We 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.
Keywords: Cauchy problem, Helmholtz equation, Carleman formula.
Received: 28.12.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 3, Pages 425–432
DOI: https://doi.org/10.1007/s11202-006-0055-0
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: È. V. Arbuzov, A. L. Bukhgeim, “The Carleman formula for the Helmholtz equation on the plane”, Sibirsk. Mat. Zh., 47:3 (2006), 518–526; Siberian Math. J., 47:3 (2006), 425–432
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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