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In this talk will be considered the Cauchy problem for a class quasilinear symmetric hyperbolic systems in the language of iso-mathematics. Will be given conditions for the isotopic element so that when the initial datum is a smooth with compact support we have local and global existence and uniqueness of the classical solutions. Also, it will be considered several cases for the isotopic element under which can be given some energy estimates of the solutions of the considered system. |
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