Branching of singularities for degenerate hyperbolic operators and Stokes phenomena

DOI10.3792/pjaa.56.206zbMath0471.35003OpenAlexW4255112339MaRDI QIDQ1157456

Kazuo Amano

Publication date: 1980

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

Full work available at URL: https://doi.org/10.3792/pjaa.56.206

zbMATH Keywords

Stokes phenomenonCauchy's problembranching singularitiesdegenerate hyperbolic operatorsFourier's transformation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Analyticity in context of PDEs (35A20) Degenerate hyperbolic equations (35L80)

Related Items (11)

Singular cauchy problems for a class of weakly hyperbolic differential operators ⋮ Microdifferential equations with non-involutory characteristics ⋮ Branching of singularities for degenerate hyperbolic operators and Stokes phenomena. II ⋮ Branching of singularities for degenerate hyperbolic operator and Stokes phenomena. III ⋮ Branching of singularities for degenerate hyperbolic operator and Stokes phenomena. IV ⋮ Exact propagators for some degenerate hyperbolic operators ⋮ Branching of singularities for degenerate hyperbolic operators ⋮ A canonical form of a system of microdifferential equations with non- involutory characteristics and branching of singularities ⋮ On the propagation of singularities with infinitely many branching points for a hyperbolic equation of second order ⋮ Propagation of singularities and uniqueness in the cauchy problem at a class of doubly characteristic points ⋮ Singular Cauchy problems for a class of weakly hyperbolic differential operators

Cites Work

• Parametrix of certain weakly hyperbolic operators
• Multi—products ofphase functions for fourier integral opertaors with an application
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