Abstract
We use an uniform approach to different kinds of degenerate hyperbolic Cauchy problems to prove well-posedness in C∞ and in Gevrey classes. We prove in particular that we can treat by the same method a weakly hyperbolic problem, satisfying an intermediate condition between effective hyperbolicity and the Levi condition, and a strictly hyperbolic problem with non-regular coefficients with respect to the time variable.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Ascanelli, A., Cicognani, M. (2006). Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators. In: Boggiatto, P., Rodino, L., Toft, J., Wong, M.W. (eds) Pseudo-Differential Operators and Related Topics. Operator Theory: Advances and Applications, vol 164. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7514-0_2
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DOI: https://doi.org/10.1007/3-7643-7514-0_2
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