4 papers
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…
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…