B. E. Kanguzhin, N. E. Tokmagambetov, “Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain”, Sibirsk. Mat. Zh., 2016, Volume 57, Number 2,Pages <nobr>339

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

B. E. Kanguzhin, N. E. Tokmagambetov

Al-Farabi Kazakhstan National University, Almaty, Kazakhstan

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.

Keywords: resolvent, well-posedness, solvability, boundary value problem, finite-rank perturbation, polyharmonic operator, punctured domain.

UDC: 517.956.223

Received: 24.01.2015

DOI: 10.17377/smzh.2016.57.209