A remarkable estimate for the solutions of the Boltzmann equation
The author proves a global (in time) a priori bound for a certain moment of classical solutions of the Boltzmann equation. This moment contains the collision kernel. The assumptions are that the solution is one- dimensional in space, and that the collision kernel satisfies certain cut off properties. The proof uses the collision invariants and the \(H\)- theorem.
scientific article; zbMATH DE number 85876