About the non cutoff Kac equation: Uniqueness and asymptotic behaviour. (English) Zbl 0873.45006

The authors investigate the asymptotic behaviour of the solution of Kac’s equation by showing uniform boundedness in time of various convex functionals of the solution. The uniqueness of the solution of the non cutoff variant of Kac equation has been proved by means of Tanaka’s functional.


45K05 Integro-partial differential equations
45M05 Asymptotics of solutions to integral equations