We deal with the Cauchy problem for a $2$-evolution operator of Schr"odinger 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.
Titolo: | Optimal Well-posedness of The Cauchy Problem for Evolution Equations with $C^{N}$ Coefficients |
Autore/i: | CICOGNANI, MASSIMO; Colombini F. |
Autore/i Unibo: | |
Anno: | 2004 |
Rivista: | |
Abstract: | We deal with the Cauchy problem for a $2$-evolution operator of Schr"odinger 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. |
Data prodotto definitivo in UGOV: | 2005-09-20 16:13:47 |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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