Le probleme de cauchy hyperbolique dans les classes d'ultrafonctions et d'ultradistributions

DOI10.1080/03605307908820098zbMath0466.35051OpenAlexW2033697435MaRDI QIDQ3918489

Jean-Marie Trepreau

Publication date: 1979

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605307908820098

zbMATH Keywords

Cauchy problemGevrey functionsultradistributionsLevi-conditionhigher order analytic differential operatorhyperbolic principal part

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Boundary value problems for linear higher-order PDEs (35G15) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (4)

On a sufficient condition for well-posedness in Gevrey classes of some weakly hyperbolic Cauchy problems ⋮ Singularities of solutions of the hyperbolic Cauchy problem in Gevrey classes ⋮ Elementary solutions and propagation of singularities for hyperbolic operators with involutive characteristics ⋮ Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators

Cites Work

• Unnamed Item
• Le problème de Cauchy pour les équations hyperboliques à caractéristique multiple
• Hyperbolic equations and systems with multiple characteristics
• CORRECTNESS OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR NONSTRICTLY HYPERBOLIC OPERATORS

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