Factorizations and fundamental solutions for differential operators of elliptic-hyperbolic type

DOI10.3792/pja/1195518210zbMath0374.35031OpenAlexW2026507847WikidataQ114023256 ScholiaQ114023256MaRDI QIDQ4152915

Hitoshi Kumano-Go

Publication date: 1976

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518210

Mathematics Subject Classification ID

Higher-order hyperbolic equations (35L25) Higher-order elliptic equations (35J30) Representations of solutions to partial differential equations (35C99) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

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Cites Work

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• Fundamental solutions for operators of regularly hyperbolic type
• Propagation des singularités pour une classe d'opérateurs à caractéristiques multiples et resolubilité locale
• Opérateurs hyperboliques à caractéristiques de multiplicité constante
• The correctness of the Cauchy problem
• On symbols of fundamental solutions of parabolic systems
• The fundamental solution for a degenerate parabolic pseudo-dierential operator
• Reflection of singularities of solutions to systems of differential equations
• Sur la condition de E. E. Levi concernant des équations hyperboliques

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