Ein abstraktes nichtlineares Cauchy-Kowalewskaja-Theorem mit singulären Koeffizienten II
Michael Reissig
Technische Universität Bergakademie Freiberg, Germany
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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 . In a subscale there exists the continuous solution up to singularity.
Cite this article
Michael Reissig, Ein abstraktes nichtlineares Cauchy-Kowalewskaja-Theorem mit singulären Koeffizienten II. Z. Anal. Anwend. 7 (1988), no. 2, pp. 171–183
DOI 10.4171/ZAA/294