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Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms

✍ Scribed by Run-zhang Xu; Xi-ren Zhao; Ji-hong Shen


Publisher
Springer
Year
2008
Tongue
English
Weight
139 KB
Volume
29
Category
Article
ISSN
0253-4827

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## Abstract We study the Cauchy problem of nonlinear Klein–Gordon equation with dissipative term. By introducing a family of potential wells, we derive the invariant sets and prove the global existence, finite time blow up as well as the asymptotic behaviour of solutions. In particular, we show a s