ON A SHOCK PROBLEM INVOLVING A NONLINEAR VISCOELASTIC BAR NGUYEN THANH LONG, ALAIN PHAM NGOC DINH,

ON A SHOCK PROBLEM INVOLVING A NONLINEAR VISCOELASTIC BAR NGUYEN THANH LONG, ALAIN PHAM NGOC DINH, AND TRAN NGOC DIEM Received 3 August 2004 and in revised form 23 December 2004 We treat an initial boundary value problem for a nonlinear wave equation utt − uxx + K |u|α u + λ|ut |β ut = f (x,t) in the domain 0