Asymptotic behaviour of solution for multidimensional viscoelasticity equation with nonlinear source term

作者：Xu, Runzhang^*; Liu, Jie; Niu, Yi; Chen, Shaohua

来源：Boundary Value Problems, 2013, 2013(1): 1-13.

DOI：10.1186/1687-2770-2013-42

• EXISTENCE UNIQUENESS
• GLOBAL EXISTENCE
• BLOW-UP
• STABILITY

In this paper we study the initial-boundary value problem of the multidimensional viscoelasticity equation with nonlinear source term . By using the potential well method, we first prove the global existence. Then we prove that when time , the solution decays to zero exponentially under some assumptions on nonlinear functions and the initial data.

• 出版日期2013
• 单位哈尔滨工程大学