Wave operators for the linearized Boltzmann equation in one-speed transport theoryстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:A dissipative integro-differential operator L arising in the linearization of Boltzmann's equation in one-speed particle transport theory is considered. Under assumptions ensuring that the point spectrum of L is finite a scalar multiple of the characteristic functions of L is found and a condition for the absence of spectral singularities is indicated. Using the techniques of non-stationary scattering theory and the Sz.-Nagy-Foias functional model direct and inverse wave operators with the completeness property are constructed. The structure of the operator L in the invariant subspace corresponding to its continuous spectrum is studied.