On the stationary Povzner equation in $\mathbf{R}^n$

Abstract

The stationary Povzner equation is considered in a bounded and strictly convex domain of $\mathbf{R}^{n}$. Existence theorems are established for a class of collision kernels in the case of hard forces and for diffuse reflection boundary conditions. Generalizations with respect to the collision kernel and boundary conditions are discussed.