Gevrey regularity of solutions to the non-cutoff homogeneous Boltzmann equation for soft potential with strong singularity

详细信息    查看全文

• 作者：Shi-you Lin ^{linsy1111@foxmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Gevrey regularity ; Homogeneous Boltzmann equation ; Non-cutoff ; Soft potential ; Strong singularity
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 March 2016
• 年：2016
• 卷：435
• 期：1
• 页码：809-820
• 全文大小：308 K

文摘

In this study, we analyze the Cauchy problem for the non-cutoff homogeneous Boltzmann equation with strong singularity. In contrast to our previous work Lin (2014) [8], the present study considers the soft potential case and derives the Gevrey regularity of the class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X15010161&_mathId=si1.gif&_user=111111111&_pii=S0022247X15010161&_rdoc=1&_issn=0022247X&md5=2b6a6eef7015f9c1dc04199085539cab" title="Click to view the MathML source">C^∞class="mathContainer hidden">class="mathCode">$C^{\infty }$ solutions.