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arXiv · 2005.00717

Diagonal symmetrizers for hyperbolic operators with triple characteristics

Tatsuo Nishitani
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Abstract

Symmetrizers for hyperbolic equations are obtained by diagonalizing the Bezoutian matrix of hyperbolic symbols. Such diagonal symmetrizers are applied to the Cauchy problem for hyperbolic operators with triple characteristics. In particular, the V.Ivrii's conjecture concerned with triple effectively hyperbolic characteristics is proved for differential operators with coefficients depending on the time variable.

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Tatsuo Nishitani. 2020-05-02. Diagonal symmetrizers for hyperbolic operators with triple characteristics. https://arxiv.org/abs/2005.00717

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