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A solvability result for a nonlinear weakly hyperbolic equation of second order

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Publication:1892163
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DOI10.1007/BF01295313zbMath0836.35095MaRDI QIDQ1892163

Renato Manfrin

Publication date: 29 April 1996

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)


zbMATH Keywords

Nash-Moser theoremLevi conditionweakly hyperbolic system


Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70)


Related Items

Weakly hyperbolic equations in domains with boundaries ⋮ Local solvability in c∞for quasi-linear weakly hyperbolic equations of second order ⋮ Well posedness in the C∞ class for utt=a(u)Δu



Cites Work

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  • An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
  • The Cauchy problem for quasi-linear symmetric hyperbolic systems
  • Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
  • Sur les problèmes de Cauchy hyperboliques bien posés
  • Hyperbolic systems of conservation laws II
  • The inverse function theorem of Nash and Moser
  • Das Anfangswertproblem einer quasilinearen hyperbolischen Differentialgleichung zweiter Ordnung in beliebiger Anzahl von unabhängigen Veränderlichen
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