Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant

[摘要] 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 L-p (p >= 2) decay rates of solutions corresponding to diffusion waves. The analysis is based on the energy method and pointwise estimates. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2006-11-15

[关键词] nonlinear evolution system;decay rate;energy method;pointwise estimates;a priori estimates