✦ LIBER ✦

Optimal rates of decay to linear diffusion waves for nonlinear evolution equations with ellipticity and dissipation

✍ Scribed by Renjun Duan; Saipan Lin; Changjiang Zhu

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 178 KB
Volume: 66
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.03.024

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✦ Synopsis

In this paper, we are concerned with the large time decay estimates of solutions to the Cauchy problem of nonlinear evolution equations with ellipticity and damping. Different end states of initial data are considered. The optimal rate of decay to the linear diffusion waves is obtained. The optimal rate of decay of solutions to the linearized system plays a crucial role in the analysis.

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