12 citations · 40 across the 21 of their papers we have counts for
31 papers
Stabilization for degenerate equations with drift and small singular term
Genni Fragnelli, Dimitri Mugnai, Amine Sbai
We consider a degenerate/singular wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichle…
Boundary controllability for degenerate/singular hyperbolic equations in nondivergence form with drift
Genni Fragnelli, Dimitri Mugnai, Amine Sbai
We study the null controllability for a degenerate/singular wave equation with drift in non divergence form. In particular, considering a control localized on the non degenerate bo…
Stability for some classes of degenerate nonlinear hyperbolic equations with time delay
Alessandro Camasta, Genni Fragnelli, Cristina Pignotti
We consider several classes of degenerate hyperbolic equations involving delay terms and suitable nonlinearities. The idea is to rewrite the problems in an abstract way and, using…
Energy decay rate of a transmission system governed by degenerate wave equation with drift and under heat conduction with memory effect
Mohammad Akil, Genni Fragnelli, Ibtissam Issa
In this paper, we investigate the stabilization of transmission problem of degenerate wave equation and heat equation under Coleman-Gurtin heat conduction law or Gurtin-Pipkin law…
Stability for degenerate wave equations with drift under simultaneous degenerate damping
Mohammad Akil, Genni Fragnelli, Ibtissam Issa
In this paper we study the stability of two different problems. The first one is a one-dimensional degenerate wave equation with degenerate damping, incorporating a drift term and…
New results on controllability and stability for degenerate Euler-Bernoulli type equations
Alessandro Camasta, Genni Fragnelli
In this paper we study the controllability and the stability for a degenerate beam equation in divergence form via the energy method. The equation is clamped at the left end and co…
A stability result for a degenerate beam equation
Alessandro Camasta, Genni Fragnelli
We consider a beam equation in presence of a leading degenerate operator which is not in divergence form. We impose clamped conditions where the degeneracy occurs and dissipative c…
Boundary controllability for a degenerate beam equation
Alessandro Camasta, Genni Fragnelli
The paper deals with the controllability of a degenerate beam equation. In particular, we assume that the left end of the beam is fixed, while a suitable control acts on the ri…
Linear stabilization for a degenerate wave equation in non divergence form with drift
Genni Fragnelli, Dimitri Mugnai
We consider a degenerate wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichlet boundar…
Fourth order differential operators with interior degeneracy and generalized Wentzell boundary conditions
Alessandro Camasta, Genni Fragnelli
In this paper we consider the fourth order operators A1u := (au")" and A2u := au"" in divergence form and non divergence form, respectively, where a, defined in [0, 1] with values…
Degenerate fourth order parabolic equations with Neumann boundary conditions
Alessandro Camasta, Genni Fragnelli
We study the generation property for a fourth order operator in divergence or in non divergence form with suitable Neumann boundary conditions. As a consequence we obtain the well…
A degenerate operator in non divergence form
Alessandro Camasta, Genni Fragnelli
In this paper we consider a fourth order operator in nondivergence form , where is a function that degenerates somewhere in the int…
Boundary controllability for a degenerate wave equation in non divergence form with drift
Idriss Boutaayamou, Genni Fragnelli, Dimitri Mugnai
We consider a degenerate wave equation with drift in presence of a leading operator which is not in divergence form. We provide some conditions for the boundary controllability of…
Null controllability for a degenerate population equation with memory
B. Allal, G. Fragnelli, J. Salhi
In this paper we consider the null controllability for a population model depending on time, on space and on age. Moreover, the diffusion coefficient degenerate at the boundary of…
Null controllability for degenerate parabolic equations with a nonlocal space term
B. Allal, G. Fragnelli, J. Salhi
We consider two degenerate heat equations with a nonlocal space term, studying, in particular, their null controllability property. To this aim, we first consider the associated no…
Null controllability for the singular heat equation with a memory term
Brahim Allal, Genni Fragnelli, Jawad Salhi
In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the…
Controllability of degenerate parabolic equation with memory
Brahim Allal, Genni Fragnelli
In this paper, we analyze the null controllability property for a degenerate parabolic equation involving memory terms with a locally distributed control. We first derive a null co…
Quasilinear problems without the Ambrosetti-Rabinowitz condition
Anna Maria Candela, Genni Fragnelli, Dimitri Mugnai
We show the existence of nontrivial solutions for a class of highly quasilinear problems in which the governing operators depend on the unknown function. By using a suitable variat…
Controllability for a degenerate cascade system
Idriss Boutaayamou, Genni Fragnelli
In this paper we consider a cascade system in non divergence form which models the interaction between two different species, the first one can be seen as a predator and the other…
Controllability for a population equation with interior degeneracy
Genni Fragnelli
We deal with a degenerate model in divergence form describing the dynamics of a population depending on time, on age and on space. We assume that the degeneracy occurs in the inter…
Null controllability for a degenerate population model in divergence form via Carleman estimates
G. Fragnelli
In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman…
Carleman estimates and null controllability for a degenerate population model
Genni Fragnelli
We deal with a degenerate model describing the dynamics of a population depending on time, on age and on space. We assume that the degeneracy can occur at the boundary or in the in…
Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates
Genni Fragnelli
We consider non smooth general degenerate/singular parabolic equations in non divergence form with degeneracy and singularity occurring in the interior of the spatial domain, in pr…
Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions
Idriss Boutaayamou, Genni Fragnelli, Lahcen Maniar
We consider a parabolic problem with degeneracy in the interior of the spatial domain and Neumann boundary conditions. In particular, we will focus on the well-posedness of the pro…