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This article is cited in 19 scientific papers (total in 19 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.
Received: 24.01.2015
Citation:
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., 57:2 (2016), 339–349; Siberian Math. J., 57:2 (2016), 265–273
Linking options:
https://www.mathnet.ru/eng/smj2748 https://www.mathnet.ru/eng/smj/v57/i2/p339
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Abstract page: | 386 | Full-text PDF : | 129 | References: | 68 | First page: | 13 |
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