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

DOI10.1215/KJM/1250522507zbMath0402.35093OpenAlexW1552141473MaRDI QIDQ5906164

Tatsuo Nishitani

Publication date: 1978

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250522507

zbMATH Keywords

Pseudodifferential OperatorsAnalytic FunctionAnalytic SymbolsCauchy Problem for the Differential OperatorsGevreyLax-Mizohata Theorem

Mathematics Subject Classification ID

Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (7)

A discrete algorithm for general weakly hyperbolic systems ⋮ The Lax-Mizohata theorem for nonlinear gauge invariant equations ⋮ Strong hyperbolicity in Gevrey classes ⋮ Conditions of hyperbolicity of systems with constant multiplicity ⋮ Energy inequality for non strictly hyperbolic operators in the Gevrey class ⋮ The Lax-Mizohata theorem for Kirchhoff-type equations ⋮ Nonlinear Cauchy problem with weakly oscillating initial data

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