TY - JOUR
T1 - Differentiability, analyticity and optimal rates of decay for damped wave equations
AU - Fatori, Luci Harue
AU - Garay, Maria Zegarra
AU - Muñoz Rivera, Jaime E.
PY - 2012/4/10
Y1 - 2012/4/10
N2 - We give necessary and sufficient conditions on the damping term of a wave equation for the corresponding semigroup to be analytic. We characterize damped operators for which the corresponding semigroup is analytic, differentiable, or exponentially stable. Also when the damping operator is not strong enough to have the above properties, we show that the solution decays polynomially, and that the polynomial rate of decay is optimal. © 2012 Texas State University - San Marcos.
AB - We give necessary and sufficient conditions on the damping term of a wave equation for the corresponding semigroup to be analytic. We characterize damped operators for which the corresponding semigroup is analytic, differentiable, or exponentially stable. Also when the damping operator is not strong enough to have the above properties, we show that the solution decays polynomially, and that the polynomial rate of decay is optimal. © 2012 Texas State University - San Marcos.
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M3 - Article
SN - 1072-6691
SP - 1
EP - 13
JO - Electronic Journal of Differential Equations
JF - Electronic Journal of Differential Equations
ER -