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 = {N. Lerner and Y. Morimoto and K. Pravda-Starov and C.-J. Xu}, 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 = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.18/} }
TY - JOUR AU - N. Lerner AU - Y. Morimoto AU - K. Pravda-Starov AU - C.-J. Xu 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 - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.18/ DO - 10.5802/slsedp.18 LA - en ID - SLSEDP_2011-2012____A23_0 ER -
%0 Journal Article %A N. Lerner %A Y. Morimoto %A K. Pravda-Starov %A C.-J. Xu %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 https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.18/ %R 10.5802/slsedp.18 %G en %F SLSEDP_2011-2012____A23_0
N. Lerner; Y. Morimoto; K. Pravda-Starov; C.-J. Xu. Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator. Séminaire Laurent Schwartz — EDP et applications (2011-2012), Talk no. 23, 10 p. doi : 10.5802/slsedp.18. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.18/
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