Averaging lemmas without time Fourier transform and application to discretized kinetic equations

F. Bouchut, L. Desvillettes
1999 Proceedings of the Royal Society of Edinburgh. Section A Mathematics  
We prove classical averaging lemmas in theL2framework with the help of the Fourier transform in variablesxandv, but nott. This method is then used to study discretized problems arising out of the numerical analysis of kinetic equations.
doi:10.1017/s030821050002744x fatcat:p2upadcauvf67bbrbmva47ipzu