59 citations · 551 across the 65 of their papers we have counts for
68 papers
Exotic eigenvalues and analytic resolvent for a graph with a shrinking edge
Gregory Berkolaiko, Denis I. Borisov, Marshall King
We consider a metric graph consisting of two edges, one of which has length which we send to zero. On this graph we study the resolvent and spectrum of the Laplacian…
Operator estimates for non-periodically perforated domains: disappearance of cavities
D. I. Borisov
We consider a boundary value problem for a general second order linear equation in a perforated domain. The perforation is made by small cavities, a minimal distance between the ca…
Homogenization for operators with arbitrary perturbations in coefficients
D. I. Borisov
We consider a general second order matrix operator in a multi-dimensional domain subject to a classical boundary condition. This operator is perturbed by a first order differential…
Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: strange term
Denis I. Borisov
We consider a boundary value problem for a general second order linear equation in a domain with a fine perforation. The latter is made by small cavities; both the shapes of the ca…
Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit
D. I. Borisov, J. Kriz
We consider a general second order linear elliptic equation in a finely perforated domain. The shapes of cavities and their distribution in the domain are arbitrary and non-periodi…
Norm convergence for problems with perforation along a given manifold with nonlinear Robin condition on boundaries of cavities
D. I. Borisov, A. I. Mukhametrakhimova
In the work we consider a boundary value problem for a second order equation with variable coefficients in a multi-dimensional domain perforated by small cavities closely spaced al…