Derivative estimates for screened Vlasov-Poisson system around Penrose-stable equilibria
Derivative estimates for screened Vlasov-Poisson system around Penrose-stable equilibria
<p style='text-indent:20px;'>In this paper, we establish derivative estimates for the Vlasov-Poisson system with screening interactions around Penrose-stable equilibria on the phase space <inline-formula><tex-math id="M1">\begin{document}$ {\mbox{Re }}^d_x\times {\mbox{Re }}_v^d $\end{document}</tex-math></inline-formula>, with dimension <inline-formula><tex-math id="M2">\begin{document}$ d\ge 3 $\end{document}</tex-math></inline-formula>. In particular, we establish the optimal decay estimates for higher derivatives of the density …