论文标题
玻璃体方程的熵耗散估计值
Entropy dissipation estimates for the Boltzmann equation without cut-off
论文作者
论文摘要
我们证明了从下面的玻璃体碰撞操作员的熵耗散的限制，加权$ l^p $ -norm。估计值具有各种电势，包括软电位以及非常软的电位。作为应用程序，我们研究了在空间均匀的Boltzmann方程的弱解决方案，并证明了加权$ l^1_t（l^p_v）$估算。
We prove a bound on the entropy dissipation for the Boltzmann collision operator from below by a weighted $L^p$-Norm. The estimate holds for a wide range of potentials including soft potentials as well as very soft potentials. As an application, we study weak solutions to the spatially homogeneous Boltzmann equation and prove a weighted $L^1_t(L^p_v)$ estimate.
