Tatsuo Nishitani
Published 2020-05-02Version 1
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.
No loss of derivatives for hyperbolic operators with Zygmund-continuous coefficients in time
Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity
Fundamental Solutions for Hyperbolic Operators with Variable Coefficients
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