Polat, NecatPiskin, Erhan2024-04-242024-04-2420150168-96731618-3932https://doi.org/10.1007/s10255-012-0174-2https://hdl.handle.net/11468/14602We 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.eninfo:eu-repo/semantics/closedAccessBoussinesq EquationCauchy ProblemGlobal SolutionAsymptotic BehaviorDamping TermArticle313735746WOS:0003598252000132-s2.0-8502819772310.1007/s10255-012-0174-2Q3Q4