Smoothing effects for classical solutions of the full landau equation

Yemin Chen; Laurent Desvillettes; Lingbing He

doi:10.1007/s00205-009-0223-z

Smoothing effects for classical solutions of the full landau equation

Yemin Chen^*, Laurent Desvillettes, Lingbing He

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

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.

Original language	English
Pages (from-to)	21-55
Number of pages	35
Journal	Archive for Rational Mechanics and Analysis
Volume	193
Issue number	1
DOIs	https://doi.org/10.1007/s00205-009-0223-z
Publication status	Published - Jul 2009

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Chen, Y., Desvillettes, L., & He, L. (2009). Smoothing effects for classical solutions of the full landau equation. Archive for Rational Mechanics and Analysis, 193(1), 21-55. https://doi.org/10.1007/s00205-009-0223-z

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Smoothing effects for classical solutions of the full landau equation

Abstract

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