Hypoellipticity for a class of kinetic equations

Morimoto, Yoshinori; Xu, Chao-Jiang

J. Math. Kyoto Univ., Tome 47 (2007) no. 3, p. 129-152 / Harvested from Project Euclid

Résumé

In this work, we study a class of operators coming from the linearization of some kinetic equations such as Boltzmann equations and Vlasov-Fokker-Planck equations. Since it is not a standard class of pseudodifferential operators, we obtain hypoelliptic estimates in some weight functions space and show the regularity of weak solutions for linear and semilinear equations.

Publié le : 2007-05-15
Classification: 35H10, 35D10, 35S05

@article{1250281072,
     author = {Morimoto, Yoshinori and Xu, Chao-Jiang},
     title = {Hypoellipticity for a class of kinetic equations},
     journal = {J. Math. Kyoto Univ.},
     volume = {47},
     number = {3},
     year = {2007},
     pages = { 129-152},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281072}
}

Morimoto, Yoshinori; Xu, Chao-Jiang. Hypoellipticity for a class of kinetic equations. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp.  129-152. http://gdmltest.u-ga.fr/item/1250281072/