A note on non-homogeneous hyperbolic operators with low-regularity coefficients

preprint2013arXivOpen access

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 tt, uniformly with respect to xx, and a log-Lipschitz-continuity condition with respect to xx, uniformly with respect to tt.

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