We provide some new explicit expressions for the linearized non-cutoff radially symmetric Boltzmann operator with Maxwellian molecules, proving that this operator is a simple function of the standard harmonic oscillator. A detailed article is available on arXiv [15].
@article{SLSEDP_2011-2012____A23_0,
author = {Lerner, N. and Morimoto, Y. and Pravda-Starov, K. and Xu, C.-J.},
title = {Hermite basis diagonalization for the non-cutoff radially symmetric linearized {Boltzmann} operator},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:23},
pages = {1--10},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2011-2012},
doi = {10.5802/slsedp.18},
language = {en},
url = {http://www.numdam.org/articles/10.5802/slsedp.18/}
}
TY - JOUR AU - Lerner, N. AU - Morimoto, Y. AU - Pravda-Starov, K. AU - Xu, C.-J. TI - Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:23 PY - 2011-2012 SP - 1 EP - 10 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/articles/10.5802/slsedp.18/ DO - 10.5802/slsedp.18 LA - en ID - SLSEDP_2011-2012____A23_0 ER -
%0 Journal Article %A Lerner, N. %A Morimoto, Y. %A Pravda-Starov, K. %A Xu, C.-J. %T Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator %J Séminaire Laurent Schwartz — EDP et applications %Z talk:23 %D 2011-2012 %P 1-10 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/articles/10.5802/slsedp.18/ %R 10.5802/slsedp.18 %G en %F SLSEDP_2011-2012____A23_0
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J. Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator. Séminaire Laurent Schwartz — EDP et applications (2011-2012), Exposé no. 23, 10 p. doi : 10.5802/slsedp.18. http://www.numdam.org/articles/10.5802/slsedp.18/
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