Propagation of Gevrey singularities for a class of operators with triple characteristics. I

DOI10.1215/S0012-7094-90-06006-5zbMath0721.35035OpenAlexW1538599593MaRDI QIDQ2640780

Enrico Bernardi, Antonio Bove

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-90-06006-5

zbMATH Keywords

Cauchy problemGevrey classesmultiple characteristicsLevi conditionswell-posedpropagation of \(G^ s\) singularities

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (2)

Propagation of Gevrey singularities for a class of operators with triple characteristics. II ⋮ On Gevrey singularities of microhyperbolic operators

Cites Work

• Microhyperbolic operators in Gevrey classes
• Analytic singularities and microhyperbolic boundary value problems
• The Cauchy problem for differential equations with double characteristics
• The Cauchy problem for a class of hyperbolic operators with triple characteristics
• Propagation des Singularites Gevery pour des Operateurs Hyperboliques
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• CORRECTNESS OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR NONSTRICTLY HYPERBOLIC OPERATORS
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