Convergence to strong nonlinear diffusion waves for solutions to p-system with damping on quadrant

in this paper, we consider the so-called p-system with linear damping on quadrant. We show that for a certain class of given large initial data (v(0)(x), u(0)(x)), the corresponding initial-boundary value problem admits a unique global smooth solution (v(x, t), u(x, t)) and such a solution tends time-asymptotically, at the LP (2 <= p <=infinity) optimal decay rates, to the corresponding nonlinear diffusion wave ((v) over bar (x, t), (u) over bar (x, t)) which satisfies (1.9) provided the corresponding prescribed initial error function (V-0(x), U-0(x)) lies in (H-3(R+) boolean AND L-1(R+)) x (H-2(R+) boolean AND L-1(R+)). (c) 2008 Elsevier Inc. All rights reserved.