Pointwise estimates and Lp convergence rates to diffusion waves for p-system with damping

摘要

By introducing a new approximate Green function, we obtain the pointwise estimates on the solutions of Euler equations with linear frictional damping, from which we can deduce the optimal L-p (1 less than or equal topless than or equal to + infinity) convergence rates to the nonlinear diffusion waves. The pointwise estimates and L-p (1 less than or equal top < 2) convergence rates given in this paper are new. (C) 2002 Elsevier Science (USA). All rights reserved. [References: 13]