On the branching of singularities in complex domains

DOI10.3792/PJAA.70.128zbMath0831.35004OpenAlexW1998197152MaRDI QIDQ1340354

Katsuju Igari

Publication date: 19 December 1994

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.70.128

zbMATH Keywords

branching of singularities

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Initial value problems for linear higher-order PDEs (35G10)

Related Items (4)

On complex singularity analysis for linear partial \(q\)-difference-differential equations using nonlinear differential equations ⋮ On the parametric Stokes phenomenon for solutions of singularly perturbed linear partial differential equations ⋮ Propagation of singularities in the ramified Cauchy problem for a class of operators with non-involutive multiple characteristics ⋮ On complex singularity analysis for some linear partial differential equations in \(\mathbb C^3\)

Cites Work

• Hamada's theorem for a certain type of the operators with double characteristics
• Characteristic Cauchy problems and analytic continuation of holomorphic solutions
• Systemes d'équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifie, hyperbolicite partielle
• Problème de Cauchy ramifié pour une classe d'opérateurs a caractéristiques tangentes. I. (Ramified Cauchy problems for a class of operators with tangential characteristics. I)
• Ramiflication of the solutions of the Cauchy problem for a special second order equation with singular data
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