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Transactions of the American Mathematical Society

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Cauchy problem for nonlinear hyperbolic systems of partial differential equations


Author: Victoria Yasinovskaya
Journal: Trans. Amer. Math. Soc. 297 (1986), 651-668
MSC: Primary 35L55
MathSciNet review: 854091
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Abstract: We proved the sharp Sobolev estimate for Cauchy data for the general type of hyperbolic systems of nonlinear partial differential equations, which leads to a local existence and uniqueness theorem for solutions of the Cauchy problem in Sobolev spaces.


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DOI: https://doi.org/10.1090/S0002-9947-1986-0854091-1
Article copyright: © Copyright 1986 American Mathematical Society