Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590429 | Journal of Functional Analysis | 2014 | 38 Pages |
Abstract
We compute the growth bound of weighted advection semigroups on the n -dimensional flat torus with general (not necessarily bounded) measurable nonnegative collision frequencies and give a compactness theorem in L1L1 spaces of interest for the stability of essential type of kinetic semigroups under perturbation by scattering operators. This provides us with a characterisation of the existence of a spectral gap for general conservative neutron transport like equations. Various related questions are also dealt with.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mustapha Mokhtar-Kharroubi,