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 Hoelder continuous we show that this low regularity has a considerable influence on the behaviour at infinity of the solution as well as on its regularity. This leads to well posedness in suitable Gelfand-Shilov classes of functions on R^n. A simple example shows the sharpness of our results.

Hoelder continuity in time for SG hyperbolic systems

ASCANELLI, Alessia;CAPPIELLO, Marco
2008

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 Hoelder continuous we show that this low regularity has a considerable influence on the behaviour at infinity of the solution as well as on its regularity. This leads to well posedness in suitable Gelfand-Shilov classes of functions on R^n. A simple example shows the sharpness of our results.
2008
Ascanelli, Alessia; Cappiello, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/518542
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