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We will discuss the existence and uniqueness of
monotone travelling waves connecting the equilibrium states 0 and 1.
They can either only approach these equilibria at plus or minus infinity,
or else attain them at finite points, depending on
the interaction between the degenerate and/or singular diffusion and
the nonsmooth reaction function. Then we discuss
the approach to such travelling waves by solutions with
rather general initial data that are sqeezed between
two travelling waves (that are each other's shift). |
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