Modern Analysis and Applications: The Mark Krein Centenary Conference - Volume 2: Differential Operators and Mechanics (Operator Theory: Advances and Applications)

Front Matter....Pages i-ix
The World Dimension of the Heritage of a Ukrainian Mathematician....Pages xi-xv
Front Matter....Pages 1-1
Bilateral Asymptotic Solution of One Class of Dual Integral Equations of the Static Contact Problems for the Foundations Inhomogeneous in Depth....Pages 3-17
Krein Systems....Pages 19-36
Spectral Theory of the Infinite Block Jacobi Type Normal Matrices, Orthogonal Polynomials on a Complex Domain, and the Complex Moment Problem....Pages 37-50
On Geometrical and Analytical Aspects in Formulations of Problems of Classic and Non-classic Continuum Mechanics....Pages 51-79
Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains....Pages 81-113
On Behavior of Weak Solutions of Operator Differential Equations on (0, ∞)....Pages 115-126
Some Modern Methods in Mechanics of Cracks....Pages 127-142
A Method of the Green’s Functions for Quasistatic Thermoelasticity Problems in Layered Thermosensitive Bodies under Complex Heat Exchange....Pages 143-154
On the Application of the M.G. Krein Method for the Solution of Integral Equations in Contact Problems in Elasticity Theory....Pages 155-171
The Stress Concentration in the Neighborhood of the Spherical Crack Inside the Infinite Elastic Cone....Pages 173-186
Pseudospectral Functions for Canonical Differential Systems....Pages 187-219
On Wave Hyperbolic Model for Disturbance Propagation in Magnetic Fluid....Pages 221-225
Front Matter....Pages 227-227
High-accuracy Stable Difference Schemes for Well-posed NBVP....Pages 229-252
The Factorization of the Flow, Defined by the Euler-Poisson’s Equations....Pages 253-271
On a Moment Problem on a Curve Connected with Ill-posed Boundary Value Problems for a PDE and Some Other Problems....Pages 273-289
The Construction and Analysis of a Posteriori Error Estimators for Piezoelectricity Stationary Problems....Pages 291-304
Remarks about Observables for the Quantum Mechanical Harmonic Oscillator....Pages 305-321
Remark on Spectral Rigidity for Magnetic Schrödinger Operators....Pages 323-329
On Holomorphic Solutions of Some Implicit Linear Differential Equations in a Banach Space....Pages 331-340
Front Matter....Pages 227-227
Groups of Operators for Evolution Equations of Quantum Many-particle Systems....Pages 341-355
Box-like Shells with Longitudinal Cracks....Pages 357-364
Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces of Two Anticommuting Variables....Pages 365-379
On the Modified Spectral Stefan Problem and Its Abstract Generalizations....Pages 381-394
The Discontinuous Solution for the Piece-homogeneous Transversal Isotropic Medium....Pages 395-406
On the Carleman Ultradifferentiability of Weak Solutions of an Abstract Evolution Equation....Pages 407-443
On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy....Pages 445-454
Elliptic Problems and Hörmander Spaces....Pages 455-478
Connection of Solutions of Abstract Paired Equations in Rings with Factorization Pairs....Pages 479-484
The Dynamic Problems About the Definition of Stress State Near Thin Elastic Inclusions Under the Conditions of Perfect Coupling....Pages 485-498
Fourier Multipliers and Comparison of Linear Operators....Pages 499-513
Forced Vibrations of the Infinite Shell of the Square Cross Section....Pages 515-520