### On stabilization of solutions of the Cauchy problem for linear degenerate parabolic equations

#### Abstract

We study the asymptotic behaviour of solutions to the Cauchy problem for linear degenerate parabolic equations. The coefficients of the equations may grow or tend to zero as $|x|\rightarrow \infty$. We establish necessary and sufficient conditions on the initial data which guarantee the stabilization of the solution to a constant.

#### Article information

Source
Adv. Differential Equations, Volume 14, Number 7/8 (2009), 621-641.

Dates
First available in Project Euclid: 18 December 2012