An $L_k^1\cap L_k^p$ approach for the non-cutoff Boltzmann equation in ${\mathbb{R}}^3$

Renjun Duan, Shota Sakamoto, Yoshihiro Ueda

In the paper, we develop an $L_k^1\cap L_k^p$ approach to construct global solutions to the Cauchy problem on the non-cutoff Boltzmann equation near equilibrium in ${\mathbb{R}}^3$.…