Displaying similar documents to “Hyperbolic operators with non Lipschitz coefficients”

Non-Lipschitz coefficients for strictly hyperbolic equations

Fumihiko Hirosawa, Michael Reissig (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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In the present paper we explain the classification of oscillations and its relation to the loss of derivatives for a homogeneous hyperbolic operator of second order. In this way we answer the open question if the assumptions to get C ∞ well posedness for weakly hyperbolic Cauchy problems or for strictly hyperbolic Cauchy problems with non-Lipschitz coefficients are optimal.