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Multidimensional Hardy-type inequalities on time scales with variable exponents
(Journal article; Peer reviewed, 2019)
A new Jensen inequality for multivariate superquadratic functions is derived and proved. The derived Jensen inequality is then employed to obtain the general Hardy-type integral inequality for superquadratic and subquadratic functions of several variables.
Recent trends in operation modal analysis techniques and its application on a steel truss bridge
(Journal article; Tidsskriftartikkel; Peer reviewed, 2019)
Aging of infrastructure causes many problems with great consequences, essentially economical. Operation modal analysis (OMA) is one of the most crucial techniques used for dynamic analysis of civil engineering structures (e.g. bridges, dams or tunnels). OMA uses various time and frequency domain methods to obtain the modal parameters. The analysis of OMA techniques can be used to detect, locate and ...
Homogenization of Levy-type operators with oscillating coefficients
(Journal article; Tidsskriftartikkel; Peer reviewed, 2019-01-05)
The paper deals with homogenization of Lévy-type operators with rapidly oscillating coefficients. We consider cases of periodic and random statistically homogeneous micro-structures and show that in the limit we obtain a Lévy-operator. In the periodic case we study both symmetric and non-symmetric kernels whereas in the random case we only investigate symmetric kernels. We also address a nonlinear ...
Hardy-type inequalities over balls in R^N for some bilinear and iterated operators
(Journal article; Tidsskriftartikkel; Peer reviewed, 2019)
Some new multidimensional Hardy-type inequalites are proved
and discussed. The cases with bilinear and iterated operators are considered
and some equivalence theorems are proved.
Embeddings of weighted generalized Morrey Spaces into Lebesgue Spaces on fractal sets
(Journal article; Tidsskriftartikkel; Peer reviewed, 2019-12-19)
We study embeddings of weighted local and consequently global generalized Morrey spaces defined on a quasi-metric measure set (X, d, μ) of general nature which may be unbounded, into Lebesgue spaces Ls(X), 1 ≤ s ≤ p < ∞. The main motivation for obtaining such an embedding is to have an embedding of non-separable Morrey space into a separable space.
In the general setting of quasi-metric measure ...
Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces
(Journal article; Peer reviewed, 2019-06-13)
A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lorentz–Zygmund spaces.
Limit behaviour of diffusion in high-contrast periodic media and related Markov semigroups
(Journal article; Tidsskriftartikkel; Peer reviewed, 2019)
The goal of the paper is to describe the large time behaviour of a symmetric diffusion in a high-contrast periodic environment and to characterize the limit process under the diffusive scaling. We consider separately the
C0 and the L2 settings.
Local energy markets as a solution for increased energy efficiency and flexibility
(Journal article; Peer reviewed, 2019)
With increasing share of distributed renewable energy resources in the grid and arising energy consumer awareness on environmental challenges new market models are sought where energy can be traded in an efficient and end-user centric way. This trend, together with the increasing consciousness on the benefits of local consumption and production has given rise to an increased focus on local energy ...
Singularly perturbed spectral problems in a thin cylinder with fourier conditions on its bases
(Journal article; Tidsskriftartikkel; Peer reviewed, 2019)
The paper deals with the bottom of the spectrum of a singularly perturbed second order elliptic operator defined in a thin cylinder and having locally periodic coefficients in the longitudinal direction. We impose a homogeneous Neumann boundary condition on the lateral surface of the cylinder and a generic homogeneous Fourier condition at its bases. We then show that the asymptotic behavior of the ...
Equivalent integral conditions related to bilinear Hardy-type inequalities
(Journal article; Tidsskriftartikkel; Peer reviewed, 2019)
Infinitely many, even scales of, equivalent conditions are derived to characterize the bilinear Hardy-type inequality under various ranges of parameters.