L²-regularity of kinetic equations with external potential

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• 作者：Wei-Xi Li ^{wei-xi.li@whu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Peng Luo ^{luopeng@whu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Shuying Tian ; ^{sytian@whu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Kinetic equation ; Potential term ; Hypoelliptic regularity
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：5 April 2016
• 年：2016
• 卷：260
• 期：7
• 页码：5894-5911
• 全文大小：298 K

文摘

In this paper, we study a class of kinetic equations with a potential term. Making use of the multiplier method, we obtain hypoelliptic regularity of the solution u on space variable x   and the potential bccc92f5379e5a7107b36d6a49" title="Click to view the MathML source">V(x)$V(x)$, under some assumptions on the velocity variable y   and the potential bccc92f5379e5a7107b36d6a49" title="Click to view the MathML source">V(x)$V(x)$.