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On the differentiability of solutions of symmetric hyperbolic systems

1963
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Proceedings of the American Mathematical Society
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This paper is concerned with the Differentiability Theorem for linear symmetric hyperbolic systems of partial differential equations of the first order. In [l] Friedrichs derives the existence and uniqueness of the strong solution of the Cauchy problem for these systems by using energy inequalities and orthogonal projections. His main tool is the integral mollifier. However, to show that the solution possesses square integrable (strong) derivatives, provided the data determining it is

doi:10.1090/s0002-9939-1963-0156102-8
fatcat:fzmlsjj2wjes5m6hh2ipxog4y4