Weakly hyperbolic equations of second order with coefficients real analytic in space variables

DOI10.1080/03605308208820231zbMath0505.35051OpenAlexW2081673575MaRDI QIDQ4740907

Enrico Jannelli

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/03605308208820231

zbMATH Keywords

existenceglobal solutionweakly hyperbolic equationsreal analytic coefficientsperturbations of the coefficients and the initial datauniqueness, Cauchy problem

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Perturbations in context of PDEs (35B20) Cauchy-Kovalevskaya theorems (35A10) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (5)

Unnamed Item ⋮ Unique existence of evolution equations of hyperbolic type with countably many singular or degenerate points ⋮ Gevrey well-posedness of an abstract Cauchy problem of weakly hyperbolic type ⋮ Ar kovalevskian systems with time-dependent coefficients ⋮ Degenerate Kirchhoff equation in ultradifferentiable class

Cites Work

• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• Analyticity of solutions of hyperbolic systems with analytic coefficients

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