RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2016 Volume 57, Number 2, Pages 339–349 (Mi smj2748)

This article is cited in 20 papers

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


 English version:
Siberian Mathematical Journal, 2016, 57:2, 265–273

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025