Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418663 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
We study the Cauchy problem for damped wave equations with a fractional damping (âÎ)θut in Rn. We derive more sharp decay estimates of the total energy based on the energy method in the Fourier space combined with the Haraux-Komornik inequality. Especially, in the case when 0â¤Î¸â¤1/2 the rate of decay of the total energy becomes almost optimal. The method in this paper can be applied to other equations and in particular it seems to be quite effective in the case of frictional dissipation, i.e., when θ=0.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ruy Coimbra Charão, Cleverson Roberto da Luz, Ryo Ikehata,