A Note on Complete Hyperbolic Operators with log-Zygmund Coefficients
The present paper is the continuation of the recent work , 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 \(H^\infty\) well-posedness of the associate Cauchy problem.
KeywordsHyperbolic operators non-Lipschitz coefficient log-Zygmund regularity energy estimates well-posedness
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