Cauchy problem and stability for the inhomogeneous Landau equation
In this talk I shall present some new results on the existence,
uniqueness and stability of solutions to the inhomogeneous Landau equation in a
close-to-equilibrium framework, in the cases of hard, Maxwellian or moderately soft
potentials. These results are based on new exponential decay estimates for the
semigroup generated by the linearised operator in various weighted Sobolev spaces.