On the Cauchy problem for effectively hyperbolic systems

DOI10.3792/pjaa.61.125zbMath0587.35061OpenAlexW1987252153MaRDI QIDQ1072011

Tatsuo Nishitani

Publication date: 1985

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.61.125

zbMATH Keywords

energy estimatesCauchy problempseudo-differential symbolspropagation speedfirst order hyperbolic operatorslocalized systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Shocks and singularities for hyperbolic equations (35L67) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

On strong hyperbolicity for first order systems

Cites Work

• Local energy integrals for effectively hyperbolic operators. II
• The Cauchy problem for differential equations with double characteristics
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
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