Abstract
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.
| Original language | English |
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| Pages (from-to) | 621-641 |
| Number of pages | 21 |
| Journal | Advances in Differential Equations |
| Volume | 14 |
| Issue number | 7-8 |
| State | Published - 2009 |