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Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain

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Abstract

We describe a class of well-posed problems for the polyharmonic operator in a punctured domain. Some formula is proven for the resolvents under finite-rank perturbations.

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Correspondence to B. E. Kanguzhin.

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Almaty. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 2, pp. 339–349, March–April, 2016; DOI: 10.17377/smzh.2016.57.209.

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Kanguzhin, B.E., Tokmagambetov, N.E. Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain. Sib Math J 57, 265–273 (2016). https://doi.org/10.1134/S0037446616020099

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  • DOI: https://doi.org/10.1134/S0037446616020099

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