TY - JOUR
T1 - Smoothing effects for classical solutions of the full landau equation
AU - Chen, Yemin
AU - Desvillettes, Laurent
AU - He, Lingbing
PY - 2009/7
Y1 - 2009/7
N2 - In this work, we consider the smoothness of the solutions to the full Landau equation. In particular, we prove that any classical solutions (such as the ones obtained by Guo in a "close to equilibrium" setting) become immediately smooth with respect to all variables. This shows that the Landau equation is a nonlinear and nonlocal analog of an hypoelliptic equation.
AB - In this work, we consider the smoothness of the solutions to the full Landau equation. In particular, we prove that any classical solutions (such as the ones obtained by Guo in a "close to equilibrium" setting) become immediately smooth with respect to all variables. This shows that the Landau equation is a nonlinear and nonlocal analog of an hypoelliptic equation.
UR - http://www.scopus.com/inward/record.url?scp=67349220644&partnerID=8YFLogxK
U2 - 10.1007/s00205-009-0223-z
DO - 10.1007/s00205-009-0223-z
M3 - Article
AN - SCOPUS:67349220644
SN - 0003-9527
VL - 193
SP - 21
EP - 55
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
IS - 1
ER -