AbstractWe consider the global existence of the solution for nonlinear damped wave equations at arbitrary positive initial energy, that is, . It is well known from a work of G. Filippo and S. Marco [Ann. Inst. H. Poincaré Anal. Non Linéaire, 2006], that which initial data with high energy make the model exists global solutions is still an interesting question. Here, we give it an affirmative answer. For this purpose, we suggest a unified approach, which is also valid where various forms of damping are present. Applying it, we show a sufficient condition to get the global existence of the solution for problem nonlinear damped wave equations.

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