  In this manuscript we consider an isotropic modification for the Landau
equation with Coulomb potential in three space dimensions. Global in time
existence of weak solutions for even initial data is shown by employing a time
semi-discretization of the equation, an entropy inequality and a uniform
estimate for the second moment of the solution to the discretized problem.
Moreover, under an additional condition that has to be satisfied uniformly over
time, uniform boundedness of the solution is proved, with bounds depending
solely on the mass, second moment and entropy of the solution. A byproduct of
our analysis is a proof of improved regularity for weak solutions to the Landau
equation with Coulomb potential.
