We study the Cauchy problem for a system of elliptic equations of the first order with constant coefficients factorizing the Helmholtz operator in a two-dimensional bounded domain. An approximate solution of this problem based on the method of Carleman matrices is constructed.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 10, pp. 1364–1371, October, 2017.
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Zhuraev, D.A. Cauchy Problem for Matrix Factorizations of the Helmholtz Equation. Ukr Math J 69, 1583–1592 (2018). https://doi.org/10.1007/s11253-018-1456-5
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DOI: https://doi.org/10.1007/s11253-018-1456-5