Cicognani, Massimo; Colombini, Ferruccio The Cauchy problem for evolution equations with non-regular coefficients. (English) Zbl 1064.35038 Far East J. Appl. Math. 15, No. 2, 207-222 (2004). Summary: The authors deal with the Cauchy problem for a class of evolution operators of Schrödinger type. They find the sharp regularity of the coefficients in the time variable for the well-posedness in Gevrey classes of the homogeneous problem, then the Levi conditions in the general case are obtained. Cited in 1 Review MSC: 35G10 Initial value problems for linear higher-order PDEs 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs 35A07 Local existence and uniqueness theorems (PDE) (MSC2000) Keywords:well-posedness in Gevrey classes; Levi conditions PDFBibTeX XMLCite \textit{M. Cicognani} and \textit{F. Colombini}, Far East J. Appl. Math. 15, No. 2, 207--222 (2004; Zbl 1064.35038)