Abstract
New qualitative and quantitative properties of abstract nonlinear Cauchy-Kowalewskaja problems with singular coefficients are represented. By applying the method of the Banach space scales the existence and uniqueness of the solution for a Cauchy problem of an operator equation in the scale can be shown. The Cauchy condition is given outside the singularity t=0 . In a subscale there exists the continuous solution up to singularity.
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