Necessary conditions for hyperbolic systems II

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概要

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• We prove necessary conditions for the well posedness of the Cauchy problem for a general class of hyperbolic systems with multiple characteristics. No as-sumption on the rank of the principal symbol on the multiple characteristic set is made. Basically our conditions are Ivrii-Petkov type vanishing conditions for the symbol of a suitably defined non commutative determinant of the full symbol of the system.

• 社団法人 日本数学会の論文
• 2003-12-01

著者

• Nishitani Tatsuo

  Department Of Mahtematics Graduate School Of Science Osaka University

• Nishitani Tatsuo

  Department Of Mathematics Osaka University

• BOVE Antonio

  UNIVERSITA DEGLI STUDI DI BOLOGNA DIPARTIMENTO DI MATEMATICA

関連論文

• Necessary conditions for the hyperbolicity of 2×2 systems
• Continuation of Bicharacteristics for Effectively Hyperbolic Operators
• Strongly Hyperbolic Systems of Maximal Rank : Dedicated to Professor Yujiro Ohya on his sixtieth birthday
• Necessary conditions for hyperbolic systems II
• Involutive System of Effectively Hyperbolic Operators
• On a class of hyperbolic systems with multiple characteristics

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