ARE THERE MORE THAN 5 LINEARLY-INDEPENDENT COLLISION INVARIANTS FOR THE BOLTZMANN-EQUATION

The problem of finding the summational collision invariants for the Boltzmann equation is tackled with the aim of proving that the most general solution of the problem is not different from the standard one even when the equation defining a collision invariant ψ is only satisfied almost everywhere in R3×R3×S2. The collision invariant ψ is assumed to be in the Hilbert space Hω of the functions which are square integrable with respect to a Maxwellian weight. © 1990 Plenum Publishing Corporation.