24 citations · 140 across the 21 of their papers we have counts for
21 papers
Stochastic very weak solution to parabolic equations with singular coefficients
Snežana Gordić, Tijana Levajković, Ljubica Oparnica
A class of stochastic parabolic equations with singular potentials is analysed in the chaos expansion setting where the Wick product is used to give sense to the product of general…
Modeling Schrödinger equation diffraction with generalized function potentials and initial values
Günther Hörmann, Ljubica Oparnica, Christian Spreitzer
We discuss spectral properties of a regularization approach to a Schrödinger equation set-up for the diffraction of a quantum particle at almost planar patterns. Physically meaning…
Distributed-order time-fractional wave equations
Frederik Broucke, Ljubica Oparnica
Distributed-order time-fractional wave equations appear in the modeling of wave propagation in viscoelastic media. The material characteristics of the medium are modeled through co…
Wick-type stochastic parabolic equations with random potentials
Snežana Gordić, Tijana Levajković, Ljubica Oparnica
The stochastic parabolic equations with random potentials, driving forces and initial conditions are considered. The Wick product is used to give sense to the product of two genera…
The Euler-Bernoulli equation with distributional coefficients and forces
Robin Blommaert, Srđan Lazendić, Ljubica Oparnica
In this work we investigate a very weak solution to the initial-boundary value problem of an Euler-Bernoulli beam model. We allow for bending stiffness, axial- and transversal forc…
Micro-local and qualitative analysis of the fractional Zener wave equation
Frederik Broucke, Ljubica Oparnica
This paper concerns the micro-local and qualitative analysis of the fractional Zener wave equation. The classical and Gevrey-type wave front sets of the fundamental solution are de…