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Global attractor for the Kirchhoff type equation with a strong dissipation |
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| Authors: | Yang Zhijian Wang Yunqing |
| Institution: | Department of Mathematics, Zhengzhou University, No. 75, Daxue Road, Zhengzhou 450052, PR China |
| Abstract: | The paper studies the longtime behavior of the Kirchhoff type equation with a strong dissipation utt−M(‖∇u‖2)Δu−Δut+h(ut)+g(u)=f(x). It proves that the related continuous semigroup S(t) possesses in the phase space with low regularity a global attractor which is connected. And an example is shown. |
| Keywords: | Kirchhoff type equation Strong dissipation Initial boundary value problem Longtime behavior Global attractor |
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