The Carleman formula for the Helmholtz equation on the plane |
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Authors: | É. V. Arbuzov A. L. Bukhgeim |
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Affiliation: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia;(2) Present address: Wichita State University, USA |
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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. |
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Keywords: | Cauchy problem Helmholtz equation Carleman formula |
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