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We consider the global solvability to the Cauchy problem of Kirchhoffequation with generalized classes of Manfrin's class. Manfrin's class is asubclass of Sobolev space, but we shall extend this class as a subclass of theultradifferentiable class, and we succeed to prove the global solvability ofKirchhoff equation with large data in wider classes from the previous works.

A class of non-analytic functions for the global solvability of Kirchhoff equation