Nonexistence of global solutions of nonlinear hyperbolic equation with material damping

作者：Song Chang ming^*

来源：Applied Mathematics and Mechanics (English Edition ), 2006, 27(7): 975-981.

DOI：10.1007/s10483-006-0714-y

• nonexistence of global solution
• initial-boundary value problem
• nonlinear hyperbolic equation
• material damping

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 axe proved by the energy method, Jensen inequality and the concavity method, respectively. As applications of our main results, three examples are given.

• 出版日期2006-7
• 单位上海交通大学