Smoothing Effects for Classical Solutions of the Full Landau Equation
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- Chen, Y., Desvillettes, L. & He, L. Arch Rational Mech Anal (2009) 193: 21. doi:10.1007/s00205-009-0223-z
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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.