The present paper is the continuation of the recent work [F. Colombini, D. Del Santo, F. Fanelli and G. Métivier: Time-dependent loss of derivatives for hyperbolic operators with non-regular coefficients, Comm. Partial Differential Equations 38 (2013), 1791-1817], and it is devoted to strictly hyperbolic operators with non-regular coefficients. We focus here on the case of complete operators whose second-order coefficients are log-Zygmund continuous in time, and we investigate the C^\infty well-posedness of the associate Cauchy problem.

### A note on complete hyperbolic operators with log-Zygmund coecients

#### Abstract

The present paper is the continuation of the recent work [F. Colombini, D. Del Santo, F. Fanelli and G. Métivier: Time-dependent loss of derivatives for hyperbolic operators with non-regular coefficients, Comm. Partial Differential Equations 38 (2013), 1791-1817], and it is devoted to strictly hyperbolic operators with non-regular coefficients. We focus here on the case of complete operators whose second-order coefficients are log-Zygmund continuous in time, and we investigate the C^\infty well-posedness of the associate Cauchy problem.
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978-3-319-02549-0
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2748701
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