  Several counterexamples in analysis show the existence of some special object
with some sort of pathological behavior. We present three different examples
where the pathological behavior is not an isolated exception, but it is the
"typical" behavior of the "generic" object in a suitable class, where here
generic means residual in the sense of Baire category.
  The first example is the revisitation of a classical result concerning
approximate differentiation. The second example is the derivative loss for
solutions to linear wave equations with time-dependent Holder continuous
propagation speed. The third result is the derivative loss for solutions to
transport equations with non-Lipschitz velocity field.
