We study the asymptotic behaviour of solutions to the Cauchy problem for linear degenerate parabolic equations. The coef-ficients of the equations may grow or tend to zero as |x| → ∞ We establish necessary and sufficient conditions on the initial data which guarantee the stabilization of the solution to a constant.
|Number of pages||21|
|Journal||Advances in Differential Equations|
|State||Published - 2009|