一类具强耗散项非线性波动方程Cauchy问题的整体解

The Global Solution of the Initial Problem for a Class of Nonlinear Wave Equations with Strongly Dissipative Terms

本文采用整体迭代法及压缩映象原理，证明了一类具强耗散项的非线性波动方程Ｃａｕｃｈｙ问题整体经典解的存在唯一性．

By the global iterative technique and contraction mapping principle, we prove the global existence and uniqueness of the initial problem for a class of nonlinear wave equations with strongly dissipative terms.