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math.APMay 1, 2008
91
citations (OpenAlex)
authors
  • Luiz Gustavo Farah
institutions
  • Instituto Nacional de Matemática Pura e Aplicada
arXiv abstractPDF
paper

Local solutions in Sobolev spaces with negative indices for the "good" Boussinesq equation

arXiv:0805.2720 · doi:10.1080/03605300802682283

Abstract

We study the local well-posedness of the initial-value problem for the nonlinear "good" Boussinesq equation with data in Sobolev spaces \textit{Hs} for negative indices of s.

Referee comments incorporated

Cited by in corpus (8)

  • The Cauchy problem for the nonlinear viscous Boussinesq equation in the Lq framework
  • Lower Regularity Solutions of the Non-homogeneous Boundary-Value Problem for a Higher Order Boussinesq Equation in a Quarter Plane
  • Linear stability analysis for periodic traveling waves of the Boussinesq equation and the KGZ system
  • Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
  • Sharp local well-posedness for the "good" Boussinesq equation
  • A Deuflhard-type exponential integrator Fourier pseudospectral method for the "Good" Boussinesq equation
  • Well-posedness for good Boussinesq equations subject to quasi-periodic initial data
  • Well-posedness and nonlinear smoothing for the "good" Boussinesq equation on the half-line
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