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Increasing polyharmonic functions and the Cauchy problem

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Abstract

It is shown that polyharmonic functions in a bounded domain are determined, under some estimates on their growth, by their values on the boundary.

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References

  1. M. M. Lavrent’ev, Some Ill-Posed Problems of Mathematical Physics [in Russian], Novosibirsk (1962).

  2. S. L. Sobolev, Introduction to the Theory of Cubature Formulas [in Russian], Nauka, Moscow (1974).

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  3. Sh. Ya. Yarmukhamedov, “The Cauchy problem for a polyharmonic equation,” Dokl. Ross. Akad. Nauk, 388, No. 2, 162–165 (2003).

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Authors and Affiliations

  1. Department of Mathematics, A. Navoi Samarkand State University, Samarkand, Uzbekistan

    N. Yu. Zhuraeva

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  1. N. Yu. Zhuraeva
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 8, pp. 99–103, 2007.

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Zhuraeva, N.Y. Increasing polyharmonic functions and the Cauchy problem. J Math Sci 159, 815–818 (2009). https://doi.org/10.1007/s10958-009-9473-4

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  • DOI: https://doi.org/10.1007/s10958-009-9473-4

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