  The small and large size behavior of stationary solutions to the
fragmentation equation with size diffusion is investigated. It is shown that
these solutions behave like stretched exponentials for large sizes, the
exponent in the exponential being solely given by the behavior of the overall
fragmentation rate at infinity. In contrast, the small size behavior is
partially governed by the daughter fragmentation distribution and is at most
linear, with possibly non-algebraic behavior. Explicit solutions are also
provided for particular fragmentation coefficients.
