Hölder continuity in time for SG hyperbolic systems |
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Authors: | Alessia Ascanelli Marco Cappiello |
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Affiliation: | Dipartimento di Matematica, Università di Ferrara, via Machiavelli 35, 44100 Ferrara, Italy |
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Abstract: | We investigate well posedness of the Cauchy problem for SG hyperbolic systems with non-smooth coefficients with respect to time. By assuming the coefficients to be Hölder continuous we show that this low regularity has a considerable influence on the behavior at infinity of the solution as well as on its regularity. This leads to well posedness in suitable Gelfand-Shilov classes of functions on Rn. A simple example shows the sharpness of our results. |
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Keywords: | Cauchy problem SG hyperbolic systems Hö lder continuity Loss of regularity |
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