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A fundamental solution for a degenerate hyperbolic operator of second order and fourier integral operators of complex phase

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Publication:3985027
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DOI10.1080/03605309108820827zbMath0742.35079OpenAlexW2075214273MaRDI QIDQ3985027

Kazuo Taniguchi

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1080/03605309108820827


zbMATH Keywords

Cauchy problempropagation of singularities


Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Fundamental solutions to PDEs (35A08) Degenerate hyperbolic equations (35L80) Fourier integral operators applied to PDEs (35S30) Propagation of singularities; initial value problems on manifolds (58J47)




Cites Work

  • Fourier integral operators in Gevrey class on \({\mathbb{R}}^ n\) and the fundamental solution for a hyperbolic operator
  • Fundamental solution for a degenerate hyperbolic operator in Gevrey classes
  • Pseudo differential operators with multiple characteristics and gevrey singularities
  • CORRECTNESS OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR NONSTRICTLY HYPERBOLIC OPERATORS


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