Stability of attractors for the Kirchhoff wave equation with strong damping and critical nonlinearities |
| |
Authors: | Zhijian Yang Fang Da |
| |
Institution: | School of Mathematics and Statistics, Zhengzhou University, No. 100, Science Road, Zhengzhou 450001, China |
| |
Abstract: | The paper investigates longtime dynamics of the Kirchhoff wave equation with strong damping and critical nonlinearities: , with . The well-posedness and the existence of global and exponential attractors are established, and the stability of the attractors on the perturbation parameter ? is proved for the IBVP of the equation provided that both nonlinearities and are of critical growth. |
| |
Keywords: | Kirchhoff wave equation Critical exponent Well-posedness Global attractor Exponential attractor Stability |
本文献已被 ScienceDirect 等数据库收录! |
|