Second Kind Representations of Sobolev Space Solutions to a First Order General Elliptic Linear System in a Simply Connected Plane Domain

Siberian Mathematical Journal - We consider a second kind representation for solutions to a first order general uniformly elliptic linear system in a simply connected...     

Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data

Siberian Mathematical Journal - We consider a problem for a first-order differential equation in a Hilbert space. We replace the initial data with some condition that...     

Kulakov Algebraic Systems on Groups

Siberian Mathematical Journal - We define a Kulakov algebraic system as a three-sorted algebraic system satisfying the axioms of a physical structure. We prove...     

Essentially Invertible Measurable Operators Affiliated to a Semifinite von Neumann Algebra and Commutators

Siberian Mathematical Journal - Suppose that a von Neumann operator algebra  $ {\mathcal{M}} $ acts on a Hilbert space  $ {\mathcal{H}} $ and $ \tau $...     

On the Right-Symmetric Algebras with a Unital Matrix Subalgebra

Siberian Mathematical Journal - Under study are the right-symmetric algebras over a field  $ F $ which possess a “unital” matrix subalgebra  $...     

Locally Finite Groups with Prescribed Structure of Finite Subgroups

Siberian Mathematical Journal - Let  $ {\mathfrak{M}} $ be a set of finite groups. Given a group  $ G $ , denote the set of all subgroups of  $ G $...     

The Coarea Formula for Vector Functions on Carnot Groups with Sub-Lorentzian Structure

Siberian Mathematical Journal - We establish the coarea formula as an expression for the measure of a subset of a Carnot group in terms of the sub-Lorentzian measure of...     

Horizontal Joinability in Canonical 3-Step Carnot Groups with Corank 2 Horizontal Distributions

Siberian Mathematical Journal - We prove that on each 2-step Carnot group with a corank 1 horizontal distribution two arbitrary points can be joined with a horizontal...     

Solution of Ponomarev’s Problem of Condensation onto Compact Sets

Siberian Mathematical Journal - Assuming the Continuum Hypothesis (CH), we prove that there exists a perfectly normal compact topological space  $ Z $ and a countable set...     

On Almost Interval Preserving Linear Operators

Siberian Mathematical Journal - A lattice homomorphism between quasi-Banach lattices is known to be compact if and only if it is a sum of a series of rank one lattice...     

Nonlinear Mixed Jordan Triple $ * $ -Derivations on $ * $ -Algebras

Siberian Mathematical Journal - Let $ {\mathcal{A}} $ be a unital $ \ast $ -algebra containing a nontrivial projection. Under some mild conditions on  $ {\mathcal{A}} $ ,...     

The Symmetry Principle and Nondegenerate Families of Curves on Abstract Surfaces

Siberian Mathematical Journal - Consider a Euclidean space domain whose volume element is induced by some weight function, while the arclength element of a curve at...     

A Bilinear Inequality for a Class of Operators of Fractional Integration

Siberian Mathematical Journal - We obtain some criteria for a bilinear inequality of a class of operators of fractional integration that imply the corresponding criteria and...     

Existence and Uniqueness of the Solution to a Degenerate Third Boundary Value Problem for a Multidimensional Parabolic Equation

Siberian Mathematical Journal - We study the well-posedness of a third boundary value problem for a multidimensional parabolic equation in the case when the coefficient of the...     

How to grow it? Strategies of mathematical development presented by the example of enumerating certain set partitions

Mathematische Semesterberichte - We describe in the form of a dialogue a development of various reflections on the combinatorics of set partitions; among the topics we pursue are...     

A Multivalued History-Dependent Operator and Implicit Evolution Inclusions. I

Siberian Mathematical Journal - On the space of continuous functions from a line segment to a reflexive Banach space, we consider some operator whose values are closed convex...     

Almost Complete Transmission of Waves Through Perforated Cross-Walls in a Waveguide with Dirichlet Boundary Condition

Siberian Mathematical Journal - We consider a waveguide composed of two not necessity equal semi-infinite strips (trunks) and a rectangle (resonator) connected by narrow openings...     

Bounded Turning in Möbius Structures

Siberian Mathematical Journal - We study a Möbius-invariant generalization, called BTR, of the classical property of bounded turning in a metric space which was introduced by...     

De Rham’s Theorem for Orlicz Cohomology

Siberian Mathematical Journal - We prove that the de Rham $ L^{\phi} $ -cohomology of a Riemannian manifold $ M $ admitting a convenient triangulation $ X $ is isomorphic to the...     

Intersections of Three Nilpotent Subgroups in a Finite Group

Siberian Mathematical Journal - We complete the proof of the theorem that any nilpotent subgroups  $ A $ , $ B $ , and  $ C $ of a finite group  $ G $ satisfy...