NONEXISTENCE OF GLOBAL SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATION WITH MATERIAL DAMPING

• 作 者: SONG Chang-ming
• 机 构: Department of Mathematics
• 出 处: 应用数学和力学（英文版）
• 发表日期: 2004年期
• 关键词: nonexistence of global solution initial-boundary value problem nonlinear hyperbo
• 基金项目: 国家自然科学基金;国家自然科学基金

Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping. Nonexitence theorems of global solutions to the above problem are proved by the energy method,Jensen inequality and the concavity method, respectively. As applications of our main results, three examples are given.