Article ID Journal Published Year Pages File Type
4622789 Journal of Mathematical Analysis and Applications 2006 19 Pages PDF
Abstract

In this paper, we consider an initial boundary value problem for some nonlinear evolution system with dissipation and ellipticity. We establish the global existence and furthermore obtain the Lp (p⩾2) decay rates of solutions corresponding to diffusion waves. The analysis is based on the energy method and pointwise estimates.

Related Topics
Physical Sciences and Engineering Mathematics Analysis