We deal with the Cauchy problem for a class of evolution operators of Schr"odinger type. We find the sharp regularity of the coefficients in the time variable for the well-posedness in Gevrey classes of the homogeneous problem, then we obtain the Levi conditions in the general case.
Cicognani M., Colombini F. (2004). The Cauchy problem for evolution equations with non-regular coefficients. FAR EAST JOURNAL OF APPLIED MATHEMATICS, 15, 207-222.
The Cauchy problem for evolution equations with non-regular coefficients
CICOGNANI, MASSIMO;
2004
Abstract
We deal with the Cauchy problem for a class of evolution operators of Schr"odinger type. We find the sharp regularity of the coefficients in the time variable for the well-posedness in Gevrey classes of the homogeneous problem, then we obtain the Levi conditions in the general case.File in questo prodotto:
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