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- W4298681075 abstract "In this paper we study the well-posedness of weakly hyperbolic systems with time dependent coefficients. We assume that the eigenvalues are low regular, in the sense that they are Holder with respect to $t$. In the past these kind of systems have been investigated by Yuzawa cite{Yu:05} and Kajitani cite{KY:06} by employing semigroup techniques (Tanabe-Sobolevski method). Here, under a certain uniform property of the eigenvalues, we improve the Gevrey well-posedness result of cite{Yu:05} and we obtain well-posedness in spaces of ultradistributions as well. Our main idea is a reduction of the system to block Sylvester form and then the formulation of suitable energy estimates inspired by the treatment of scalar equations in cite{GR:11}" @default.
- W4298681075 created "2022-10-02" @default.
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- W4298681075 date "2015-09-04" @default.
- W4298681075 modified "2023-10-18" @default.
- W4298681075 title "On hyperbolic systems with time dependent Holder characteristics" @default.
- W4298681075 doi "https://doi.org/10.48550/arxiv.1509.01603" @default.
- W4298681075 hasPublicationYear "2015" @default.
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