University of Gabès

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20092026

most citedThe Effects of Mobility on the Hit Performance of Cached D2D Networks

33 citations

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2 papers · 1 filter

math.FA2018

$C_{0}$ -semigroups of $m$ -isometries on Hilbert spaces

T. Bermudez, A. Bonilla, H. Zaway

Let ${T (t)}_{t \geq 0}$ be a $C_{0}$ -semigroup on a separable Hilbert space $H$ . We characterize that $T (t)$ is an $m$ -isometry for every $t$ in terms that the mapping $t\in \Bbb R^+…

math.FA2014

The heat equation for the Dirichlet fractional Laplacian with negative potentials: Existence and blow-up of nonnegative solutions

Ali BenAmor, Tarek Kenzizi

We establish conditions ensuring either existence or blow-up of nonnegative solutions for the heat equation generated by the Dirichlet fractional Laplacian perturbed by negative po…

C0​-semigroups of m-isometries on Hilbert spaces

The heat equation for the Dirichlet fractional Laplacian with negative potentials: Existence and blow-up of nonnegative solutions

$C_{0}$ -semigroups of $m$ -isometries on Hilbert spaces