The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to time |
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| Authors: | Yasuo Yuzawa |
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| Affiliation: | Center for Tsukuba Advanced Research Alliance, University of Tsukuba, Tennoudai 1-1-1, Tsukuba city, Ibaraki 315-8577, Japan |
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| Abstract: | We discuss the local existance and uniqueness of solutions of certain nonstrictly hyperbolic systems, with Hölder continuous coefficients with respect to time variable. We reduce the nonstrictly hyperbolic systems to the parabolic ones, then we shall prove them by use of Tanabe-Sobolevski’s method. |
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| Keywords: | Weakly hyperbolic Nonstrictly hyperbolic Gevrey well-posedness Hö lder coefficients |
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