| 摘要: |
| 本文研究了Landau方程初值问题在γ∈[0，1]时解的光滑性.对初值较弱的假设下，得到了包含时间的解析估计和解的解析正则性. |
| 关键词: Landau方程 Boltzmann方程 解析正则性 平滑性 |
| DOI： |
| 分类号:O175.3 |
| 基金项目: |
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| ANALYTIC REGULARITY OF SOLUTIONS TO SPATIALLY HOMOGENEOUS LANDAU EQUATION |
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WANG Yan-lin, XU Wei-man
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School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| In this paper, we investigate the smoothness effect for the Cauchy problem of Landau equation with γ ∈ [0,1]. Analytic estimate involving time and analytic smoothness effect of the solutions are established under some weak assumptions on the initial data. |
| Key words: Landau equation Boltzmann equation analytic regularity smoothness effect |
