Ar kovalevskian systems with time-dependent coefficients

DOI10.1080/03605308408820366zbMath0559.35011OpenAlexW2008984756MaRDI QIDQ5185405

Enrico Jannelli

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/03605308408820366

zbMATH Keywords

estimatetime of existenceCauchy-Kovalevski theoremKovalevskian system

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Linear first-order PDEs (35F05) Cauchy-Kovalevskaya theorems (35A10)

Related Items

Well-posedness of hyperbolic systems with multiplicities and smooth coefficients ⋮ Global real analytic solutions of the cauchy problem for linear partial differntial equations ⋮ Hyperbolic equations with non-analytic coefficients ⋮ On the well-posedness of weakly hyperbolic equations with time-dependent coefficients ⋮ Third order homogeneous weakly hyperbolic equations with nonanalytic coefficients ⋮ On hyperbolic systems with time-dependent Hölder characteristics ⋮ Unnamed Item ⋮ On the Gevrey well posedness of the Cauchy problem for weakly hyperbolic equations of higher order

Cites Work

• Unnamed Item
• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• Analyticity of solutions of hyperbolic systems with analytic coefficients
• Weakly hyperbolic equations of second order with coefficients real analytic in space variables

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