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 $(|u_t|^{r-2}u_t)_t-\Delta u_{tt}-\Delta u-\delta\Delta u_t=f(u)$.
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
Keywords: nonlinear evolution equation; mixed problem; asymptotic stability of solutions
@article{CMUC_2004_45_1_a6,
author = {Hongwei, Zhang and Guowang, Chen},
title = {Asymptotic stability for a nonlinear evolution equation},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {101--107},
year = {2004},
volume = {45},
number = {1},
mrnumber = {2076862},
zbl = {1098.35024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2004_45_1_a6/}
}
TY - JOUR AU - Hongwei, Zhang AU - Guowang, Chen TI - Asymptotic stability for a nonlinear evolution equation JO - Commentationes Mathematicae Universitatis Carolinae PY - 2004 SP - 101 EP - 107 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_2004_45_1_a6/ LA - en ID - CMUC_2004_45_1_a6 ER -
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/