Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I
KD Cherednichenko, YY Ershova… - … in Mathematical Physics, 2020 - Springer
A novel approach to critical-contrast homogenisation for periodic PDEs is proposed, via an
explicit asymptotic analysis of Dirichlet-to-Neumann operators. Norm-resolvent asymptotics …
explicit asymptotic analysis of Dirichlet-to-Neumann operators. Norm-resolvent asymptotics …
Asymptotic analysis of operator families and applications to resonant media
We give an overview of operator-theoretic tools that have recently proved useful in the
analysis of boundary-value and transmission problems for second-order partial differential …
analysis of boundary-value and transmission problems for second-order partial differential …
Squares of symmetric operators
YM Arlinskiĭ - Complex Analysis and Operator Theory, 2024 - Springer
Using the approach proposed in Arlinskiĭ (Complex Anal Oper Theory 17 (7): 34, 2023), in
an infinite-dimensional separable complex Hilbert space we give abstract constructions of …
an infinite-dimensional separable complex Hilbert space we give abstract constructions of …
FUNCTIONAL MODEL FOR BOUNDARY‐VALUE PROBLEMS
We develop a functional model for operators arising in the study of boundary‐value
problems of materials science and mathematical physics. We then provide explicit formulae …
problems of materials science and mathematical physics. We then provide explicit formulae …
Squares of symmetric operators
Y Arlinskii - arXiv preprint arXiv:2403.01473, 2024 - arxiv.org
Using the approach proposed in [5], in an infinite-dimensional separable complex Hilbert
space we give abstract constructions of families $\{{\mathcal T} _z\} _ {{\rm Im\,} z> 0} $ of …
space we give abstract constructions of families $\{{\mathcal T} _z\} _ {{\rm Im\,} z> 0} $ of …
The spectral form of the functional model for maximally dissipative operators: A Lagrange identity approach
M Brown, M Marletta, S Naboko, I Wood - St. Petersburg Mathematical …, 2024 - ams.org
This paper is a contribution to the theory of functional models. In particular, it develops the so-
called spectral form of the functional model where the selfadjoint dilation of the operator is …
called spectral form of the functional model where the selfadjoint dilation of the operator is …
[PDF][PDF] On a boundary pair of a dissipative operator
R Jursenas - arXiv preprint arXiv:2412.09707, 2024 - arxiv.org
arXiv:2412.09707v1 [math.FA] 12 Dec 2024 Page 1 arXiv:2412.09707v1 [math.FA] 12 Dec
2024 ON A BOUNDARY PAIR OF A DISSIPATIVE OPERATOR RYTIS JURŠ ENAS Abstract …
2024 ON A BOUNDARY PAIR OF A DISSIPATIVE OPERATOR RYTIS JURŠ ENAS Abstract …
Mathematical Heritage of Sergey Naboko: Functional Models of Non-Self-Adjoint Operators
AV Kiselev, V Ryzhov - From Complex Analysis to Operator Theory: A …, 2023 - Springer
The paper surveys the area of functional models for dissipative and non-dissipative
operators, and in particular the contributions made in this area by Sergey Naboko, to …
operators, and in particular the contributions made in this area by Sergey Naboko, to …
On a General Approach to Construction of a Self-Adjoint Dilation for a Dissipative Operator.
DV Tretyakov, YL Kudryashov - Journal of Mathematical …, 2022 - search.ebscohost.com
We propose a general approach to the construction of a self-adjoint dilation for a densely
defined dissipative operator with a non-empty set of regular points. The construction …
defined dissipative operator with a non-empty set of regular points. The construction …
Complete nonselfadjointness for Schrödinger operators on the semi-axis
C Fischbacher, S Naboko, I Wood - St. Petersburg Mathematical Journal, 2024 - ams.org
This note is devoted to the study of complete nonselfadjointness for all maximally dissipative
extensions of a Schrödinger operator on a half-line with dissipative bounded potential and …
extensions of a Schrödinger operator on a half-line with dissipative bounded potential and …