24 citations · 140 across the 21 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
Stochastic parabolic equations with singular potentials
Snežana Gordić, Tijana Levajković, Ljubica Oparnica
In this work we consider a class of stochastic parabolic equations with singular space depending potential, random driving force and random initial condition. For the analysis of t…
Well-posedness of the fractional Zener wave equation for heterogenous viscoelastic materials
Ljubica Oparnica, Endre Süli
We explore the well-posedness of the fractional version of Zener's wave equation for viscoelastic solids, which is based on a constitutive law relating the stress tensor $\boldsymb…