Existence and uniqueness of solutions of hyperbolic equations which are not necessarily strictly hyperbolic

DOI10.1016/0022-0396(75)90038-8zbMath0287.35065OpenAlexW2087478602MaRDI QIDQ1846176

Stanly L. Steinberg

Publication date: 1975

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90038-8

Mathematics Subject Classification ID

Related Items (6)

On a sufficient condition for well-posedness in Gevrey classes of some weakly hyperbolic Cauchy problems ⋮ A generalized Levi condition for weakly hyperbolic Cauchy problems with coefficients low regular in time and smooth in space ⋮ The cauchy problem for weakly hyperbolic equations in gevrey classes ⋮ Applications of linear programming theory to existence and uniqueness classes for the Cauchy problem ⋮ An infinite-dimensional Laplacian operator ⋮ Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Systemes hyperboliques
• Equations hyperboliques non-strictes: Contre-examples du type De Giorgi, aux théoremes d'existence et d'unicité
• Le problème de Cauchy pour les équations hyperboliques à caractéristique multiple
• Équations et systèmes non-linéaires, hyperboliques non-stricts
• Diagonalisation des systèmes quasilinéaires et hyperbolicité non stricte
• Pseudo-differential operators and Gevrey classes
• The correctness of the Cauchy problem
• Hyperbolic equations and systems with multiple characteristics
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• On cauchy's problem for partial differential equations with multiple characteristics
• Le problème de Cauchy et les opérateurs d’intégrale singulière
• Pseudo‐differential operators
• An algebra of pseudo‐differential operators
• Sur la condition de E. E. Levi concernant des équations hyperboliques
• On the L² continuity of pseudo‐differential operators
• The Cauchy-Goursat problem
• Cauchy problems with characteristic initial hypersurface

This page was built for publication: Existence and uniqueness of solutions of hyperbolic equations which are not necessarily strictly hyperbolic