| 1 | Existence and Asymptotic Behavior of Solution of Cauchy Problem for the Damped Sixth-order Boussinesq Equation显示文摘We consider the existence, both locally and globally in time, as well as the asymptotic behavior of solutions for the Cauchy problem of the sixth-order Boussinesq equation with damping term. Under rather mild conditions on the nonlinear term and initial data, we prove that the above-mentioned problem admits a unique local solution, which can be continued to a global solution, and the problem is globally well-posed.Finally, under certain conditions, we prove that the global solution decays exponentially to zero in the infinite time limit. | Necat POLAT Erhan PSKN | 2015 | Acta Mathematicae Applicatae Sinica2015，31，3： | 2 |
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