Removable singularities of holomorphic solutions of linear partial differential equations

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概要

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• In a complex domain V⊂ \bm{C}<SUP>n</SUP>, let P be a linear holomorphic partial differential operator and K be its characteristic hypersurface. When the localization of P at K is a Fuchsian operator having a non-negative integral characteristic index, it is proved, under some conditions, that every holomorphic solution to Pu=0 in V\backslash K has a holomorphic extension in V. Besides, it is applied to the propagation of singularities for equations with non-involutive double characteristics.

• 社団法人 日本数学会の論文
• 2004-01-01

著者

• Igari Katsuju

  Department Of Mathematics Kyoto University

• Igari Katsuju

  Department Of Mechanical Engineering Ehime University

• IGARI Katsuju

  DEPARTMENT OF APPLIED MATHEMATICS EHIME UNIVERSITY

関連論文

• Well-Posedness of the Cauchy Problem for Some Evolution Equations
• Degenerate Parabolic Differential Equations
• Removable singularities of holomorphic solutions of linear partial differential equations
• The characteristic Cauchy problem at a point where the multiplicity varies

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