Elementary solutions and propagation of singularities for hyperbolic operators with involutive characteristics

DOI10.1080/03605308208820249zbMath0507.35054OpenAlexW2069148891MaRDI QIDQ4744653

Takao Kobayashi

Publication date: 1982

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308208820249

zbMATH Keywords

non-characteristic Cauchy problemelementary solutionspropagation of singularitiesinvolutive characteristicsreal analytic coefficients

Mathematics Subject Classification ID

Related Items (1)

The 2-microlocal canonical form for a class of microdifferential equations and propagation of singularities

Cites Work

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• On the singularities of the solution to the Cauchy problem with singular data in the complex domain
• Irregularity of characteristic elements and hyperbolicity
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• Fundamental solution for a hyperbolic equation with involutive characteristics of variable multiplicity
• Le probleme de cauchy hyperbolique dans les classes d'ultrafonctions et d'ultradistributions
• CORRECTNESS OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR NONSTRICTLY HYPERBOLIC OPERATORS
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients

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