数学物理学报(英文版)
數學物理學報(英文版)
수학물이학보(영문판)
Acta Mathematica Scientia
2004年
2期
265-274
,共10页
Viscoelastic model%relaxation%a priori estimates%maximum principle
This paper is concerned with the initial boundary value problem for a viscoelastic model with relaxation. Under the only assumption that the C0-norm of the initial data is small, without smallness hypothesis for the C1-norm, the existence of the global smooth solution to the corresponding initial boundary value problem is proved.The analysis is based on some a priori estimates obtained by the "maximum principle" of first-order quasilinear hyperbolic system.
