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Uniqueness of solution of boundary-value problems for the biharmonic equation

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Ukrainian Mathematical Journal Aims and scope

Abstract

New uniqueness theorems for nonnegative solutions of boundary-value problems for the biharmonic equation in a strip are proved. The proofs are based on a detailed investigation of special meromorphic functions arising in a natural manner in the study of boundary-value problems.

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Literature cited

  1. V. A. Kondrat'ev and S. D. Éidel'man, “On biharmonic functions, nonnegative in a halfstrip,” Mat. Zametki,15, No. 1, 125–132 (1974).

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Authors and Affiliations

  1. Omsk Polytechnic Institute, USSR

    A. I. Firdman & S. D. Éidel'man

Authors
  1. A. I. Firdman
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  2. S. D. Éidel'man
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 4, pp. 572–575, April, 1990.

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Firdman, A.I., Éidel'man, S.D. Uniqueness of solution of boundary-value problems for the biharmonic equation. Ukr Math J 42, 507–510 (1990). https://doi.org/10.1007/BF01071346

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  • DOI: https://doi.org/10.1007/BF01071346

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