We will show the existence, uniqueness and regularity of global solutions for the Cauchy problem for nonlinear evolution equations with the damping term
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As an application of our results, we give the global solvability and regularity of the mixed problem with Dirichiet boundary conditions: ![](//static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20151016101924721-0417:S144678870000313X_inline2.gif?pub-status=live)