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Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space
In this paper, some concepts related to the intrinsic convexity of non-homogeneous quadratic functions on the hyperbolic space are studied. Unlike in...
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Map** distributions in non-homogeneous space with distance-based methods
Distance-based methods (DBMs) are frequently used to analyze spatial structures in economics. Results provided by DBMs are particularly effective for...
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Chaos and integrability of relativistic homogeneous potentials in curved space
Relativistic Hamiltonian systems of n degrees of freedom in static curved spaces are considered. The source of space-time curvature is a scalar...
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Fundamental Solutions for a Piecewise-Homogeneous Transversely Isotropic Elastic Space
The problem of construction of the fundamental solutions for a piecewise-homogeneous transversely isotropic space is reduced to a matrix Riemann...
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On Well-Posed Boundary Conditions for the Linear Non-Homogeneous Moment Equations in Half-Space
We investigate the boundary conditions that ensure the well-posedness of the linear non-homogeneous Grad moment equations in half-space. The Grad...
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Axisymmetric Contact Problem for a Homogeneous Space with a Circular Disk-Shaped Crack Under Static Friction
The paper considers an axisymmetric stress state of a homogeneous elastic space with a circular disc-shaped crack, one of the edges of which is...
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Homogeneous Cosmology
Cosmology is the theory of the universe as a whole. We distinguish between homogeneous and inhomogeneous cosmology. Homogeneous cosmology is the...
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A Dynamic Green’s Function for the Homogeneous Viscoelastic and Isotropic Half-Space
A dynamic 3D Green’s function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results...
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The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential
In this article, we study the smoothing effect of the Cauchy problem for the spatially homogeneous non-cutoff Boltzmann equation for hard potentials....
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Dynamic Response of a Shallow Lined Tunnel to SH Waves in a Homogeneous Half Space
AbstractIn this paper, we derive the analytical solution for the dynamic stress concentration factor (DSCF) of a lined tunnel buried in a homogeneous...
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The Krein–Milman Theorem for Homogeneous Polynomials
This note addresses the problem of recovering a convex set of homogeneous polynomials from the subset of its extreme points, i.e., the justification...
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Parabolic Boundary-Value Problems in a Piecewise Homogeneous Wedge-Shaped Cylindrically Circular Space
By the method of integral and hybrid integral transforms in combination with the method of principal solutions (matrices of influence and Green’s...
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Quantum Reference Frames on Finite Homogeneous Spaces
We present an operationally motivated treatment of quantum reference frames in the setting that the frame is a covariant positive operator valued...
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Axis-Symmetrical Stress State of Piecewise Homogeneous, Uniformly Layered Space with Periodical Disk-Shaped Defects
In this section discontinuous solutions for equations of axis-symmetrical theory of elasticity for piecewise homogeneous, uniformly layered space...
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Discrete Approximation of Solutions of the Cauchy Problem for a Linear Homogeneous Differential-Operator Equation with a Caputo Fractional Derivative in a Banach Space
In this paper, we construct and examine the time-discretization scheme for the Cauchy problem for a linear homogeneous differential equation with the...
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Existence of minimizers for causal variational principles on compact subsets of momentum space in the homogeneous setting
We prove the existence of minimizers for the causal action in the class of negative definite measures on compact subsets of momentum space in the...