Global solutions and finite time blow up for damped Klein-Gordon equation |
| |
Authors: | Runzhang XU Yunhua DING |
| |
Affiliation: | College of Science, Harbin Engineering University, Harbin 150001, China |
| |
Abstract: | We study the Cauchy problem of strongly damped Klein-Gordon equation. Global existence and asymptotic behavior of solutions with initial data in the potential well are derived. Moreover, not only does finite time blow up with initial data in the unstable set is proved, but also blow up results with arbitrary positive initial energy are obtained. |
| |
Keywords: | Klein-Gordon equation strongly damped global solutions blow up |
本文献已被 ScienceDirect 等数据库收录! |