16 citations · 33 across the 13 of their papers we have counts for
14 papers · 1 filter
Control and numerical approximation of fractional diffusion equations
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
The aim of this work is to give a broad panorama of the control properties of fractional diffusive models from a numerical analysis and simulation perspective. We do this by survey…
Multiplicity of solutions for fractional -Laplacian equations
Abita Rahmoune, Umberto Biccari
In this paper, we deal with the following elliptic type problem $$ \begin{cases} (-Δ)_{q(.)}^{s(.)}u + λVu = α\left\vert u\right\vert^{p(.)-2}u+β\left\vert u\right\vert^{k(.)-2}u &…
Existence and cost of boundary controls for a degenerate/singular parabolic equation
Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble
In this paper, we consider the following degenerate/singular parabolic equation where …
Controllability of the one-dimensional fractional heat equation under positivity constraints
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
In this paper, we analyze the controllability properties under positivity constraints on the control or the state of a one-dimensional heat equation involving the fractional Laplac…
Dynamics and control for multi-agent networked systems: a finite difference approach
Umberto Biccari, Dongnam Ko, Enrique Zuazua
We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equation…
Null-controllability properties of a fractional wave equation with a memory term
Umberto Biccari, Mahamadi Warma
We study the null-controllability properties of a one-dimensional wave equation with memory associated with the fractional Laplace operator. The goal is not only to drive the displ…