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On a representation of the solution of the Cauchy problem with singular initial data

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Publication:1149556
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DOI10.3792/pjaa.56.59zbMath0454.35024OpenAlexW2074576664MaRDI QIDQ1149556

Tan Ishii

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.56.59

zbMATH Keywords

Cauchy problemtransport equationssingular initial datarepresentation of the solutiondifferential operators with holomorphic characteristic rootsmulticharacteristic functionmultiphase function


Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Representations of solutions to partial differential equations (35C99)


Related Items

On the singularities of the solution to the Cauchy problem with singular data in the complex domain



Cites Work

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  • Systemes d'équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifie, hyperbolicite partielle
  • The singularities of solutions of the Cauchy problems for systems whose characteristic roots are non-uniform multiple
  • The singularities of the solution of the Cauchy problem
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