1 citations · 2 across the 13 of their papers we have counts for
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Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation
Harbir Antil, Umberto Biccari, Rodrigo Ponce +2
We study the controllability to trajectories, under positivity constraints on the control or the state, of a one-dimensional heat equation involving the fractional Laplace operator…
Convergence of solutions of discrete semi-linear space-time fractional evolution equations
Harbir Antil, Carlos Lizama, Rodrigo Ponce +1
Let be the realization of the fractional Laplace operator on the space of continuous functions , and let denote the discrete fractional Lapla…
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…
Realization of the fractional Laplacian with nonlocal exterior conditions via forms method
Burkhard Claus, Mahamadi Warma
Let $Ω\subset\RR^n$ () be a bounded open set with a Lipschitz continuous boundary. In the first part of the paper, using the method of bilinear forms, we give a rigorous ch…
Fractional Gaussian estimates and holomorphy of semigroups
Valentin Keyantuo, Fabian Seoanes, Mahamadi Warma
Let be an arbitrary open set and denote by $(e^{-t(-Δ)_{\RR^N}^s})_{t\ge 0}$ (where ) the semigroup on $L^2(\RR^N)$ generated by the fractional Laplace operat…
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…