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Local solvability in c∞for quasi-linear weakly hyperbolic equations of second order

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Publication:4715662
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DOI10.1080/03605309608821236zbMath0858.35087OpenAlexW2083993893MaRDI QIDQ4715662

Renato Manfrin

Publication date: 31 March 1997

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

Full work available at URL: https://doi.org/10.1080/03605309608821236


zbMATH Keywords

Cauchy problemwell-posedness


Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)


Related Items

Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ Well posedness in the C∞ class for utt=a(u)Δu



Cites Work

  • Unnamed Item
  • An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
  • The Cauchy problem for hyperbolic equations with double characteristics
  • Non-uniqueness in hyperbolic Cauchy problems
  • A solvability result for a nonlinear weakly hyperbolic equation of second order
  • Équations et systèmes non-linéaires, hyperboliques non-stricts
  • Hyperbolic systems of conservation laws II
  • The cauchy problem for weakly hyperbolic equations of second order
  • The inverse function theorem of Nash and Moser
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