Global attractor for the Kirchhoff type equations with strong nonlinear damping and supercritical nonlinearity

作者：Yang Zhijian^*; Ding Pengyan; Liu Zhiming

来源：Applied Mathematics Letters, 2014, 33: 12-17.

DOI：10.1016/j.aml.2014.02.014

• Kirchhoff type equation
• Supercritical nonlinearity
• Global attractor

The paper studies the existence of global strong attractor for the Kirchhoff type equations with strong nonlinear damping and supercritical nonlinearity u(tt) - (||del u||(2))Delta u(t) - phi(||Vu||(2))Delta u f(u) = h(x). It proves that in strictly positive stiffness factors and supercritical nonlinearity case, there exists a global finite-dimensional attractor in the natural energy space endowed with strong topology (rather than partially strong topology). The result extends the recent one achieved by Chueshov (2012).

• 出版日期2014-7
• 单位郑州大学