On the Lax-Mizohata theorem in the analytic and Gevrey classes

DOI10.3792/PJAA.53.88zbMath0442.35025OpenAlexW2018845407MaRDI QIDQ5904480

Tatsuo Nishitani

Publication date: 1977

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.53.88

zbMATH Keywords

well-posednessnon-characteristic Cauchy problemwave front setlocalized differential operatorpseudo-differential operator of analytic or Gevrey class

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Initial value problems for higher-order hyperbolic equations (35L30) Initial value problems for PDEs with pseudodifferential operators (35S10) General topics in partial differential equations (35A99)

Cites Work

• Solutions nulles et solutions non analytiques
• Irregularity of characteristic elements and hyperbolicity
• Pseudo-differential operators and Gevrey classes
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients

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