A remark concerning the dependence on the initial data of the solution of the Cauchy problem for a linear equation with analytic coefficients
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Annales Polonici Mathematici
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We study the lifespan of solutions to fully nonlinear second-order Cauchy problems with small real- or complex-analytic data. The nonlinear term is an analytic function in u, ū and their derivatives. We give an outline of the proof based on the method of majorants and the fixed point technique.