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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/3920

Title: A Note on Non-homogeneous Hyperbolic Operators with Low Regularity Coefficients
Authors: Fanelli, Francesco
Colombini, Ferruccio
Keywords: Hyperbolic equations
log-Zygmund regularity
loss of derivatives
Issue Date: 2010
Publisher: EUT Edizioni Università di Trieste
Citation: Ferruccio Colombini, Francesco Fanelli, "A Note on Non-homogeneous Hyperbolic Operators with Low Regularity Coefficients", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 suppl. (2010), pp. 1-25.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Abstract: In this paper we obtain an energy estimate for a complete strictly hyperbolic operator with second order coefficients satisfying a log-Zygmund-continuity condition with respect to $t$, uniformly with respect to $x$, and a log-Lipschitz-continuity condition with respect to $x$,uniformly with respect to $t$.
URI: http://hdl.handle.net/10077/3920
ISSN: 0049-4704
MS Classification 2000: 35L15
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s.

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