Hyperbolic Equations with Non-analytic Coefficients |
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| Authors: | Tamotu Kinoshita Sergio Spagnolo |
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| Institution: | (1) Institute of Mathematics, Tsukuba University, Tsukuba Ibaraki, 305-8571, Japan;(2) Department of Mathematics “L. Tonelli”, University of Pisa, largo Pontecorvo 5, 56127 Pisa, Italy |
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| Abstract: | We prove that the Cauchy problem for a hyperbolic, homogeneous equation with
 coefficients depending on time, is well posed in every Gevrey class, although in general it is not well-posed in
 provided the characteristic roots satisfy the condition
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| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 35L30 35L80 |
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