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Minimax estimates for functionals of solutions of wave equations with time-periodic right-hand sides

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Abstract

Minimax mean-square estimates for the velocity potential in the steady regime, as well as for the intensities of harmonic ponts sources, are obtained from the results of inaccurate measurements of the potential. Bibliography: 4 titles.

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References

  1. A. G. Nakonechny,Minimax Estimates in Systems with Distributed Parameters [in Russian], Preprint, Institute for Cybernetics, Acad. Sci. UkrSSR (1979), 79–46.

  2. A. G. Nakonechny, “On minimax estimation of functional of solutions to operator equations,”Dokl. Akad. Nauk UkrSSR, Ser. A,5, 71–74 (1982).

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  3. Yu. K. Pidlypenko,Potential Theory for Diffraction Problems in a Wedge and a Layer [in Russian], Preprint, Institute for Cybernetics, Acad, Sci. UkrSSR (1988), 88–55.

  4. Yu. K. Pidlypenko,Boundary- Value Problems for Helmholt Equations in Certain Domians with Infinite Boundaries [in Russian], Preprint, Institute for Mathematics, Acad, Sci. UkrSSR (1990), 90–47.

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Authors
  1. L. T. Adzhubey
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  2. O. G. Nakonechy
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  3. Yu. K. Pidlypenko
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Additional information

Translated fromObchyslyuval’na ta Prykladna Matematyka, No. 77, 1993, pp 87–96.

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Adzhubey, L.T., Nakonechy, O.G. & Pidlypenko, Y.K. Minimax estimates for functionals of solutions of wave equations with time-periodic right-hand sides. J Math Sci 77, 3452–3457 (1995). https://doi.org/10.1007/BF02367993

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  • DOI: https://doi.org/10.1007/BF02367993

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