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

Ferruccio Colombini; Francesco Fanelli

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arXiv · 1305.1133

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

Ferruccio Colombini·Francesco Fanelli

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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 $t$.

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Ferruccio Colombini, Francesco Fanelli. 2013-05-06. A note on non-homogeneous hyperbolic operators with low-regularity coefficients. https://arxiv.org/abs/1305.1133

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