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Analytic symmetrizations of 3 × 3 systems of first order partial differential equations with reduced dimension 4

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Let L(y, D) be a first order 3 × 3 system with reduced dimension 4 depending on a real vector parameter y. Assume that, at every frozen y, L(y, D) is symmetrizable. We state geometrical conditions in order that L(y, D) is smoothly (or analytically) symmetrizable.

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Correspondence to Jean Vaillant.

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To the memory of Jean Leray

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Vaillant, J. Analytic symmetrizations of 3 × 3 systems of first order partial differential equations with reduced dimension 4. J.fixed point theory appl. 1, 221–238 (2007). https://doi.org/10.1007/s11784-007-0014-9

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  • DOI: https://doi.org/10.1007/s11784-007-0014-9

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