We use an uniform approach to different kinds of degenerate hyperbolic Cauchy problems to prove well-posedness in C^1 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.
Well posedness of the Cauchy problem for some degenerate hyperbolic operators
ASCANELLI, Alessia;
2006
Abstract
We use an uniform approach to different kinds of degenerate hyperbolic Cauchy problems to prove well-posedness in C^1 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.File in questo prodotto:
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