Cauchy problem for nonlinear hyperbolic systems of partial differential equations

Yasinovskaya, Victoria

doi:10.1090/S0002-9947-1986-0854091-1

Cauchy problem for nonlinear hyperbolic systems of partial differential equations
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by Victoria Yasinovskaya

Trans. Amer. Math. Soc. 297 (1986), 651-668

DOI: https://doi.org/10.1090/S0002-9947-1986-0854091-1

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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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