Smoothing Effects for Classical Solutions of the Full Landau Equation |
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| Authors: | Yemin Chen Laurent Desvillettes Lingbing He |
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| Affiliation: | (1) Department of Mathematics, Beijing Institute of Technology, 100081 Beijing, People’s Republic of China;(2) CMLA, ENS Cachan, CNRS, PRES UniverSud, 94235 Cachan Cedex, France;(3) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People’s Republic of China |
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| Abstract: | 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. |
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