On energy inequalities and regularity of solutions to weakly hyperbolic Cauchy problems

DOI10.2977/PRIMS/1195183573zbMath0533.35058OpenAlexW2031765050MaRDI QIDQ789607

Takeshi Mandai

Publication date: 1982

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/1195183573

zbMATH Keywords

regularityGevrey classenergy inequalitiesweakly hyperbolic Cauchy problemswell- posedness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (1)

Necessary conditions for well-posedness of the flat Cauchy problem and the regularity-loss of solutions

Cites Work

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• Un exemple dans le problème de Cauchy pour les équations faiblement hyperboliques
• Cauchy problem for weakly hyperbolic equations of second order
• The Cauchy problem for differential equations with double characteristics
• Some remarks on the Cauchy problem for weakly hyperbolic equations
• Construction of a parametrix for the Cauchy problem of some weakly hyperbolic equation. I
• Sur une condition suffisante pour que le problème de Cauchy faiblement hyperbolique soit bien pose. Cas de multiplicité de caractéristiques au plus triple
• Solution explicite du problème de Cauchy pour des opérateurs effectivement hyperboliques
• Linear hyperbolic equations with Gevrey coefficients
• Opérateurs hyperboliques à caractéristiques de multiplicité constante
• Necessary and sufficient conditions for the hyperbolicity of polynomials with hyperbolic principal part
• Fundamental solution for a hyperbolic system with diagonal principal part
• Parametrix of certain weakly hyperbolic operators
• The cauchy problem for weakly hyperbolic equation
• Parametrices for a class of effectively hyperbolic operators
• The Cauchy Problem for Weakly Hyperbolic Equations
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• On the cauchy problem for weakly hyperbolic equations
• Energy Inequalities for Hyperbolic Equations in Several Variables With Multiple Characteristics and Constant Coefficients

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