Abstract
We deal with the Cauchy problem for a $2$-evolution operator of Schrödinger type with $C^N$ coefficients in the time variable, $N>2$. We find the Levi conditions for well-posedness in Gevrey classes of index $1/2 + N/4$, which is the best possible, as we show by means of counterexamples.
Citation
Massimo Cicognani. Ferruccio Colombini. "Optimal well-posedness of the Cauchy problem for evolution equations with $C^N$ coefficients." Differential Integral Equations 17 (9-10) 1079 - 1092, 2004. https://doi.org/10.57262/die/1356060314
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