Decay estimates of solutions of a nonlinearly damped semilinear wave equation

Aissa Guesmia, and Salim A. Messaoudi. "Decay estimates of solutions of a nonlinearly damped semilinear wave equation." Annales Polonici Mathematici 85.1 (2005): 25-36. <http://eudml.org/doc/280200>.

@article{AissaGuesmia2005,
abstract = {We consider an initial boundary value problem for the equation $u_\{tt\} - Δu - ∇ϕ·∇u + f(u) + g(u_\{t\}) = 0$. We first prove local and global existence results under suitable conditions on f and g. Then we show that weak solutions decay either algebraically or exponentially depending on the rate of growth of g. This result improves and includes earlier decay results established by the authors.},
author = {Aissa Guesmia, Salim A. Messaoudi},
journal = {Annales Polonici Mathematici},
keywords = {multiplier method; exponential; polynomial decay},
language = {eng},
number = {1},
pages = {25-36},
title = {Decay estimates of solutions of a nonlinearly damped semilinear wave equation},
url = {http://eudml.org/doc/280200},
volume = {85},
year = {2005},
}

TY - JOUR
AU - Aissa Guesmia
AU - Salim A. Messaoudi
TI - Decay estimates of solutions of a nonlinearly damped semilinear wave equation
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 1
SP - 25
EP - 36
AB - We consider an initial boundary value problem for the equation $u_{tt} - Δu - ∇ϕ·∇u + f(u) + g(u_{t}) = 0$. We first prove local and global existence results under suitable conditions on f and g. Then we show that weak solutions decay either algebraically or exponentially depending on the rate of growth of g. This result improves and includes earlier decay results established by the authors.
LA - eng
KW - multiplier method; exponential; polynomial decay
UR - http://eudml.org/doc/280200
ER -