【摘要】 讨论初边值问题整体经典解的存在性．在P′（s）≥0,p′（s）─q′（s）|≤const．的条件下，用Galerkin方法证明了该问题整体经典解的存在唯一性．更多还原

【Abstract】 In this paper, we study the problem of global existence of solutions to the fol-lowing initial-boundary value problemwhich comes from viscoelastic mechanics. By making use of Galerkin’s approximation method, we prove that this prob1em has a unique global s01ution if, in addition to certain regularity assumptions on the given functions, the fol1owing conditions are satisfied p’ (s) ≥ 0, ｜p’ (s) - q’ (s)｜≤const., λ(0)＜ 0, λ (0) ＜λ(0)2.更多还原