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A note on complete hyperbolic operators with log-Zygmund coefficients

Abstract : The present paper is the continuation of the recent work [7], 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 H∞ well-posedness of the associate Cauchy problem.
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Ferruccio Colombini, Francesco Fanelli, Daniele del Santo, Guy Metivier. A note on complete hyperbolic operators with log-Zygmund coefficients. Fourier Analysis. Pseudo-differential operators, time-frequency analysis and partial differential equations. Edited by Michael Ruzhansky and Ville Turunen., Birkhäuser/Springer, 2014, Trends in Mathematics. ⟨hal-00795817⟩

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