Involutive system of effectively hyperbolic operators

DOI10.2977/PRIMS/1195175036zbMath0726.35078OpenAlexW1977357864MaRDI QIDQ803809

Tatsuo Nishitani

Publication date: 1988

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195175036

zbMATH Keywords

parametrixwave front setseffective hyperbolicityfiniteness of propagation speedmicrolocal Cauchy problem

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Higher-order hyperbolic systems (35L55)

Cites Work

• The Cauchy problem for effectively hyperbolic operators
• Hyperbolic operators with symplectic multiple characteristics
• The Cauchy problem for effectively hyperbolic equations (a standard type)
• Local energy integrals for effectively hyperbolic operators. I
• Système involutif d'opérateurs effectivement hyperboliques. (Involutive system of effectively hyperbolic operators)
• The Cauchy problem for differential equations with double characteristics
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• On the singularities of solutions of partial differential equations
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