Linear differential operator with an involution as a generator of an operator group

DOI10.7153/oam-2018-12-43zbMath1403.35158arXiv1806.04109OpenAlexW2963371563WikidataQ129238760 ScholiaQ129238760MaRDI QIDQ4558391

N. B. Uskova, Ilya A. Krishtal, Anatoly G. Baskakov

Publication date: 22 November 2018

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04109

zbMATH Keywords

mixed problemFourier methodmethod of similar operatorsspectral asymptotic analysisoperator-valued potential function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for first-order hyperbolic systems (35L50) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

The matrix analysis of spectral projections for the perturbed self-adjoint operators, Method of similar operators in the study of spectral properties of perturbed first-order differential operators, Spectral properties of the Dirac operator on the real line, Closed operator functional calculus in Banach modules and applications, ON THE SPECTRAL ANALYSIS OF A DIFFERENTIAL OPERATOR WITH AN INVOLUTION AND GENERAL BOUNDARY CONDITIONS, Spectral analysis of differential operators with involution and operator groups, Fourier method for first order differential equations with involution and groups of operators, Spectral properties of the Dirac operator with a nonsmooth potential of the general form and operator groups, Similarity techniques in the spectral analysis of perturbed operator matrices, Fourier method for a mixed problem with the Hill operator, Spectral properties of first-order differential operators with an involution and groups of operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the spectral properties of a second-order differential operator with a matrix potential
• Functional differential operators with involution and Dirac operators with periodic boundary conditions
• Initial-boundary value problems for first-order hyperbolic equations with involution
• Spectral expansions of one-dimensional periodic Dirac operators
• Spectral properties of an even-order differential operator
• Methods of abstract harmonic analysis in the perturbation theory of linear operators
• Krylov-Bogolyubov substitution in the perturbation theory of linear operators
• Spectral criteria for almost periodicity of solutions of functional equations
• Spectral analysis of abstract parabolic operators in homogeneous function spaces, II
• Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system
• Evolutionary semigroups and Lyapunov theorems in Banach spaces
• Classification of linear time-varying difference equations under kinematic similarity
• Criterion for the basis property of the eigenfunction system of a multiple differentiation operator with an involution
• On completeness of spectral subspaces of linear relations and ordered pairs of linear operators
• Spectral analysis of differential operators with unbounded periodic coefficients
• Linear differential operators and operator matrices of the second order
• On a result of R. Turner
• Spectral analysis of a differential operator with an involution
• Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution
• Vector-valued Laplace Transforms and Cauchy Problems
• Estimates for the Green's function and parameters of exponential dichotomy of a hyperbolic operator semigroup and linear relations
• A THEOREM ON SPLITTING AN OPERATOR, AND SOME RELATED QUESTIONS IN THE ANALYTIC THEORY OF PERTURBATIONS
• EQUICONVERGENCE THEOREMS FOR INTEGRODIFFERENTIAL AND INTEGRAL OPERATORS
• One-Parameter Semigroups for Linear Evolution Equations
• SPECTRAL ANALYSIS OF PERTURBED NONQUASIANALYTIC AND SPECTRAL OPERATORS
• The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials
• The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential
• Perturbation of compact spectral operators