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Local well-posedness of a nonlinear KdV-type equation

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Publication:392611
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DOI10.1016/j.crma.2013.10.032zbMath1286.35221OpenAlexW2058721785MaRDI QIDQ392611

Samer Israwi, Raafat Talhouk

Publication date: 14 January 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.10.032


zbMATH Keywords

Cauchy problemwell-posednessKdV-type equation


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)


Related Items

On well-posedness for some Korteweg-de Vries type equations with variable coefficients ⋮ Convergence of mechanical balance laws for water waves: from KdV to Euler ⋮ On the generalized nonlinear Camassa-Holm equation ⋮ Explicit solutions and numerical simulations for an asymptotic water waves model with surface tension



Cites Work

  • Unnamed Item
  • Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators
  • Gain of regularity for equations of KdV type
  • Introduction to nonlinear dispersive equations
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