5 citations · 10 across the 7 of their papers we have counts for
12 papers
Strongly continuous fields of operators over varying Hilbert spaces
Ali BenAmor, Batu Güneysu, Thomas Kalmes +1
After introducing a natural notion of continuous fields of locally convex spaces, we establish a new theory of strongly continuous families of possibly unbounded self-adjoint opera…
Continuity aspects for traces of Dirichlet forms with respect to monotone weak convergence of G-Kato measures
Ali BenAmor
We investigate some analytic properties of traces of Dirichlet forms with respect to measures satisfying Hardy-type inequality. Among other results we prove convergence of spectra,…
Feller property and convergence for semigroups of time-changed processes
Ali BenAmor, Kazuhiro Kuwae
We give a substitute to Feller property for semigroups of time-changed processes; under some conditions this leads to establish sufficient (new) conditions for the semigroups to be…
Essential spectrum and Feller type properties
Ali BenAmor, Batu Gueneysu, Peter Stollmann
We give necessary and sufficient conditions for a regular semi-Dirichlet form to enjoy a new Feller type property, which we call \emph{weak Feller property}. Our characterization i…
Spectral asymptotic and positivity for singular Dirichlet-to-Neumann operators
Ali BenAmor
In the framework of Hilbert spaces we shall give necessary and sufficient conditions to define a Dirichlet-to-Neumann operator via Dirichlet principle. For singular Dirichlet-to-Ne…
Decomposition formulae for Dirichlet forms and their corollaries
Ali BenAmor, Rafed Moussa
We provide decompositions of Dirichlet forms into recurrent and transient parts as well as into conservative and dissipative parts, in the framework of Hausdorff state spaces. Comb…
Computations and global properties for traces of Bessel's Dirichlet form
Ali BenAmor, Rafed Moussa
We compute explicitly traces of the Dirichlet form related to the Bessel process with respect to discrete measures as well as measures of mixed type. Then some global properties of…
On the construction and convergence of traces of forms
Hichem BelHadjAli, Ali BenAmor, Christian Seifert +1
We elaborate a new method for constructing traces of quadratic forms in the framework of Hilbert and Dirichlet spaces. Our method relies on monotone convergence of quadratic forms…
The heat equation for the Dirichlet fractional Laplacian with Hardy's potentials: properties of minimal solutions and blow-up
Ali BenAmor
Local and global properties of minimal solutions for the heat equation generated by the Dirichlet fractional Laplacian negatively perturbed by Hardy's potentials on open subsets of…
The Robin Laplacian in the large coupling limit: Convergence and spectral asymptotic
Faten Belgacem, Hichem BelhadjAli, Ali BenAmor +1
We study convergence modes as well as their respective rates for the resolvent difference of Robin and Dirichlet Laplacian on bounded smooth domains in the large coupling limit. As…
Pointwise estimates for the ground states of singular Dirichlet fractional Laplacian
Ali Beldi, Nedra Belhajrhouma, Ali BenAmor
We establish sharp pointwise estimates for the ground states of some singular fractional Schrödinger operators on relatively compact Euclidean subsets. The considered operators are…
Local existence and uniqueness for the frictional Newton-Schroedinger equation in three dimensions
Ali BenAmor, Philippe Blanchard
We prove local existence and uniqueness for the Newton-Schroedinger equation in three dimensions. Further we show that the blow-up alternative holds true as well as the continuous…