Fractal and Fractional (Jun 2022)

Solution of the Ill-Posed Cauchy Problem for Systems of Elliptic Type of the First Order

  • Davron Aslonqulovich Juraev,
  • Ali Shokri,
  • Daniela Marian

DOI
https://doi.org/10.3390/fractalfract6070358
Journal volume & issue
Vol. 6, no. 7
p. 358

Abstract

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We study, in this paper, the Cauchy problem for matrix factorizations of the Helmholtz equation in the space Rm. Based on the constructed Carleman matrix, we find an explicit form of the approximate solution of this problem and prove the stability of the solutions.

Keywords