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.
@article{1250517956,
author = {Arkeryd, L. and Nouri, A.},
title = {On the stationary Povzner equation in $\mathbf{R}^n$},
journal = {J. Math. Kyoto Univ.},
volume = {39},
number = {4},
year = {1999},
pages = { 115-153},
language = {en},
url = {http://dml.mathdoc.fr/item/1250517956}
}
Arkeryd, L.; Nouri, A. On the stationary Povzner equation in $\mathbf{R}^n$. J. Math. Kyoto Univ., Tome 39 (1999) no. 4, pp. 115-153. http://gdmltest.u-ga.fr/item/1250517956/