Initial-boundary value problems in irregular domains for nonlinear kinetic equations of Boltzmann type.

Journal article, 1999

Geometric properties of domain boundaries and properties of the reflection operator for well-posedness of boundary value problems and existence results for kinetic equations in the case of irregular domains are investigated. The results guarantee global solvability in L 1 of boundary value problems for the nonlinear Povzner kinetic equation in domains with finite Hausdorff measure of the boundary and a cone condition.