Geodesic
Asymptotic stability for a nonlinear evolution equation
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 1, pp. 101-107.

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We establish the asymptotic stability of solutions of the mixed problem for the nonlinear evolution equation $(|u_t|^{r-2}u_t)_t-\Delta u_{tt}-\Delta u-\delta\Delta u_t=f(u)$.
Classification : 35B35, 35L25, 35L35
Keywords: nonlinear evolution equation; mixed problem; asymptotic stability of solutions 
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Hongwei, Zhang; Guowang, Chen. Asymptotic stability for a nonlinear evolution equation. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 1, pp. 101-107. http://geodesic.mathdoc.fr/item/CMUC_2004__45_1_a6/