Mustapha Mokhtar-Kharroubi

Spectral Analysis and Generation Results for Streaming Operators with Multiplying Boundary Conditions

This paper deals with the spectral theory of streaming equations for smooth or partly smooth boundary operators. Generation results for muliplying boundary operators in L1-spaces are also given.

HOMOGENIZATION OF BOUNDARY VALUE PROBLEMS AND SPECTRAL PROBLEMS FOR NEUTRON TRANSPORT IN LOCALLY PERIODIC MEDIA

This paper deals with boundary value problems and spectral problems for neutron transport equations involving locally periodic (in space) collision frequencies and collision operators. We show strong convergence results to the solution of homogenized problems when the period goes to zero. The mathematical analysis relies mainly on smoothing effects of velocity averages.

On Perturbed Substochastic Semigroups in Abstract State Spaces

The object of this paper is twofold: In the first part, we unify and extend the recent developments on honesty theory of perturbed substochastic semigroups (on

ON THE EXPONENTIAL STABILITY OF ADVECTION SEMIGROUPS WITH BOUNDARY OPERATORS

L^{1}(\mu )

On the stochastic nonlinear neutron transport equation

-spaces or noncommutative

W1,p REGULARITY IN TRANSPORT THEORY

L^{1}

On Strong Convergence to Ergodic Projection for Perturbed Substochastic Semigroups

spaces) to general state spaces; this allows us to capture for instance a honesty theory in preduals of abstract von Neumann algebras or subspaces of duals of abstract

On the singular limit of a model transport semigroup

C^{\ast }

Spectral Theory for Neutron Transport

-algebras. In the second part of the paper, we provide another honesty theory (a semigroup-perturbation approach) independent of the previous resolvent-perturbation approach and show the equivalence of the two approaches. This second viewpoint on honesty is new even in

Optimal spectral theory of the linear Boltzmann equation

L^{1}(\mu )