Optimal decay rates for the system of elastic waves in R with structural damping.

Autor: Ikehata, Ryo, Charão, Ruy, Luz, Cleverson
Zdroj: Journal of Evolution Equations; Mar2014, Vol. 14 Issue 1, p197-210, 14p
Abstrakt: We consider the Cauchy problem in R for the system of elastic waves with structural damping. We derive (almost) optimal decay rates in time for the L-norm and the total energy which improves previous results for this system. To derive the estimates for elastic waves, we employ an improvement in a method in the Fourier space, which was developed in our previous works. Our estimates came from those for a generalized energy of α-order in the Fourier space. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
Externí odkaz: